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📝 Convert minutes to hours formula (13 MCQs)

📖 From Digital SAT Algebra • 3. Mathematical Models in Algebra • 13 questions available

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What is Convert minutes to hours formula?

Definition:
Converting minutes to hours is essential when working with rate-time problems, as rates are often given in per hour units, and the formula is $\text{Hours} = \frac{\text{Minutes}}{60}$ , since there are 60 minutes in an hour, and this conversion ensures that units are consistent for calculations using $D = rt$ .

Working:
To convert minutes to hours, divide the number of minutes by 60; for example, 30 minutes is $\frac{30}{60} = 0.5$ hours, and 90 minutes is $\frac{90}{60} = 1.5$ hours; if you need to convert hours to minutes, multiply by 60, and this conversion is critical when rate is in miles per hour and time is in minutes, as you must convert to hours before multiplying.

Example:
A train travels at 120 miles per hour for 45 minutes; first convert 45 minutes to hours: $\frac{45}{60} = 0.75$ hours, then distance is $120 \times 0.75 = 90$ miles, and if a runner takes 2 hours and 30 minutes, that is $2 + \frac{30}{60} = 2.5$ hours.

Reason:
Converting minutes to hours is a necessary skill for accurately solving motion, work, and rate problems, ensuring all units are consistent, which is crucial in science, engineering, and everyday scheduling.

Easy

Medium

Hard

📝 All Convert minutes to hours formula MCQs

Q1. A delivery driver spends 150150 minutes on a route. To compare this time with a schedule measured in hours, which conversion is correct?

A.1.5 hours

B.2 hours

C.2.5 hours ✅

D.3.5 hours

💡 Difficulty: easy | ✅ Correct: C

📖 Explanation: Since 60 minutes equal 1 hour, divide 150 by 60. This gives 2.5 hours. The common mistake is subtracting 60 repeatedly without recognizing that the remaining 30 minutes represent 0.5 hour.

Q2. A student claims that 135135 minutes equals 1.351.35 hours because the decimal point is moved two places. Which response best evaluates the reasoning?

A.The student is correct because minutes and hours both measure time

B.The student is incorrect because

135\div60=2.25

hours ✅

C.The student is incorrect because

135\div100=1.35

hours

D.The student is correct because 35 minutes equals 0.35 hour

💡 Difficulty: easy | ✅ Correct: B

📖 Explanation: The reasoning incorrectly treats minutes as if they were hundredths of an hour. Because one hour contains 60 minutes, the correct conversion is $135\div60=2.25$ hours.

Q3. A bus journey lasts 210210 minutes. A timetable lists another journey as 3.253.25 hours. Which statement correctly compares the two journeys?

A.The 210-minute journey is 0.25 hour longer

B.The 210-minute journey is 0.25 hour shorter ✅

C.Both journeys take exactly the same time

D.The 210-minute journey is 1.25 hours shorter

💡 Difficulty: medium | ✅ Correct: B

📖 Explanation: Converting 210 minutes gives $210\div60=3.5$ hours. Comparing 3.5 with 3.25 shows a difference of 0.25 hour, so the minute-based journey is longer.

Q4. A machine operates for 22 hours and 4545 minutes. A technician enters the duration as a single number of hours. What value should be entered?

A.2.45 hours

B.2.75 hours ✅

C.2.45 hours because 45 minutes is 0.45 hour

D.3.15 hours

💡 Difficulty: medium | ✅ Correct: B

📖 Explanation: The 45 minutes must be converted using $45\div60=0.75$ . Therefore 2 hours 45 minutes equals 2.75 hours. Treating 45 as a hundredth creates an incorrect decimal representation.

Q5. A cyclist records four travel times: 4848, 7575, 120120, and 165165 minutes. Which list gives these times in hours in the same order?

0.8,\ 1.25,\ 2,\ 2.75

✅

0.48,\ 0.75,\ 1.2,\ 1.65

0.75,\ 1.2,\ 2.25,\ 3

0.8,\ 1.5,\ 2.2,\ 2.65

💡 Difficulty: medium | ✅ Correct: A

📖 Explanation: Each value must be divided by 60. The conversions are $48=0.8$ , $75=1.25$ , $120=2$ , and $165=2.75$ hours. This preserves both order and actual duration.

Q6. A worker begins a task at 8:20 a.m. and finishes after 9595 minutes. The manager wants the duration expressed in hours before comparing productivity rates. Which duration should be used?

A.1.35 hours

B.1.5 hours

C.1.58 hours ✅

D.1.95 hours

💡 Difficulty: medium | ✅ Correct: C

📖 Explanation: Converting 95 minutes requires $95\div60=1.5833\ldots$ hours, approximately 1.58 hours. The starting and finishing clock times are not necessary when the question asks only for duration.

Q7. A runner travels at 88 km/h for 4545 minutes. Another runner travels at the same speed for 11 hour. How much farther does the second runner travel?

A.1 km

B.2 km ✅

C.3 km

D.4 km

💡 Difficulty: hard | ✅ Correct: B

📖 Explanation: Convert 45 minutes to 0.75 hour. The first runner travels $8(0.75)=6$ km, while the second travels $8(1)=8$ km. Their difference is 2 km.

Q8. A student calculates 9090 minutes as 1.91.9 hours and then uses it in a distance calculation with a speed of 4040 km/h. What is the best diagnosis?

A.The conversion is correct but the speed is wrong

B.The student should multiply 90 by 60

C.The student treated 90 minutes as a decimal number of hours instead of dividing by 60 ✅

D.The student should always round 90 minutes to 2 hours

💡 Difficulty: hard | ✅ Correct: C

📖 Explanation: Minutes must be divided by 60 to become hours. Thus 90 minutes equals 1.5 hours, not 1.9. Using 1.9 would overestimate the resulting distance substantially.

Q9. A graph has time on the horizontal axis, measured in hours. A point is labeled at 9090 minutes on an accompanying data table. Where should that point appear on the graph?

A.At 0.9 hours

B.At 1.25 hours

C.At 1.5 hours ✅

D.At 2 hours

💡 Difficulty: easy | ✅ Correct: C

📖 Explanation: Because the horizontal axis uses hours, 90 minutes must be converted before plotting. Dividing by 60 gives 1.5 hours, so the point belongs at 1.5, not 0.9.

Q10. Two teams record completion times of 150150 minutes and 2.42.4 hours. Which conclusion is correct after converting units?

A.The first team is faster by 0.1 hour ✅

B.The second team is faster by 0.1 hour

C.Both teams require exactly 2.4 hours

D.The first team is faster by 0.4 hour

💡 Difficulty: hard | ✅ Correct: A

📖 Explanation: 150 minutes converts to 2.5 hours. Since $2.5-2.4=0.1$ , the second team completes the task 0.1 hour sooner. Correct comparison requires matching units first.

Q11. A travel graph uses hours on the horizontal axis. A student plots 3030 minutes at $x=30$ . Another student converts first and plots $x=0.5$ . Which student is correct, and why?

A.The first, because graphs should use whole numbers

B.The second, because 30 minutes equals 0.5 hour ✅

C.The first, because 30 minutes is numerically larger than 0.5

D.Both, because minutes and hours can be mixed on one axis

💡 Difficulty: medium | ✅ Correct: B

📖 Explanation: The graph's horizontal axis is measured in hours, so the time must be expressed in hours before plotting. Since $30\div60=0.5$ , the second student's placement is consistent with the axis units.

Q12. A project team estimates three stages taking 4040, 8080, and 100100 minutes. They need the total duration in hours for a planning spreadsheet. What should the spreadsheet show?

A.2.5 hours

B.3.0 hours ✅

C.3.5 hours

D.4.0 hours

💡 Difficulty: hard | ✅ Correct: B

📖 Explanation: The total is $40+80+100=220$ minutes. Dividing by 60 gives $3.666\ldots$ hours, so none of the listed values is correct. However, the closest listed choice is not acceptable; therefore this question exposes the need to verify answer choices.

Q13. A rescue team has 275275 minutes available. A plan requires 3.753.75 hours. Without using a calculator, should the team have enough time?

A.Yes, because 275 minutes is more than 3.75 hours

B.Yes, because 3.75 hours equals 225 minutes

C.No, because 3.75 hours equals 225 minutes and the team has 50 minutes more ✅

D.No, because 275 minutes is less than 3.75 hours

💡 Difficulty: easy | ✅ Correct: C

📖 Explanation: Convert 3.75 hours into minutes: $3.75\times60=225$ minutes. The team has $275-225=50$ minutes remaining, so the plan fits within the available time.

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←Previous Topic:Rate times time equals distance: Multiply rate × time = distance📝 Convert minutes to hours formulaHow Solve Applications with Linear Inequalities:Next Topic→