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James and Debbie live 286 miles apart. They drive to meet each other a

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James and Debbie live 286 miles apart. They drive to meet each other a [#permalink] New post   11 Oct 2023, 08:00
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Data Insights (DI) Quiz-II 2023 [Question #17, Date: Oct-11-2023] [Click here for Details]


James and Debbie live 286 miles apart. They drive to meet each other at a place exactly halfway between their two locations.

Debbie departs 1 hour and 48 minutes before James does. The section of the highway she travels has a 60-mile-per-hour speed limit and only two lanes for all but the last 5 miles. For the last 5 miles of her trip, Debbie can travel 70 miles per hour. James travels a section of the highway that has four lanes, with a 70-mile-per-hour speed limit the entire way.

In the table, identify the approximate number of hours and minutes that Debbie will drive to meet James at the midpoint if she drives the posted speed limit for her trip. Next, if James drives the posted speed limit, identify the approximate number of hours and minutes that James will drive to meet Debbie. Make only one selection in each column.
Debbie James Drive time (in hours and minutes)
1 hour, 45 minutes
3 hours, 51 minutes
2 hours, 3 minutes
2 hours, 14 minutes
2 hours, 22 minutes
1 hour, 48 minutes
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Debbie: 2 hours, 22 minutes James: 2 hours, 3 minutes
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Re: James and Debbie live 286 miles apart. They drive to meet each other a [#permalink] New post   11 Oct 2023, 08:42
James and Debbie live 286 miles apart. They drive to meet each other at a place exactly halfway between their two locations.

Debbie departs 1 hour and 48 minutes before James does. The section of the highway she travels has a 60-mile-per-hour speed limit and only two lanes for all but the last 5 miles. For the last 5 miles of her trip, Debbie can travel 70 miles per hour. James travels a section of the highway that has four lanes, with a 70-mile-per-hour speed limit the entire way.



Distance to be travelled by both James and Debbie = 286/2 = 143 miles (each)


A. In the table, identify the approximate number of hours and minutes that Debbie will drive to meet James at the midpoint if she drives the posted speed limit for her trip.

Since Debbie travels at 60-mile-per-hour speed limit
(Note :- last 5 miles' speed at 60-mile-per-hour is not applicable, since she travels only 143 miles)

therefore, Driving Time = 143/60 = 2.383 = 2 hrs 22 minutes (approximately)

2 hrs 22 minutes is the correct answer



B. Next, if James drives the posted speed limit, identify the approximate number of hours and minutes that James will drive to meet Debbie. Make only one selection in each column.


Driving Time = 143/70 = 2.04 = 2 hrs 3 minutes (approximately)

2 hrs 3 minutes is the correct answer
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Re: James and Debbie live 286 miles apart. They drive to meet each other a [#permalink] New post   11 Oct 2023, 11:20
Debbie = 2 hours, 22 minutes, James = 2 hours, 3 minutes

1. Debbie Drive time (in hours and minutes)

PART-1
distance travelled by debbie = 143-5 = 138 miles
speed of debbie for first 138 miles = 60 mi / hr
time taken by debbie(PART-1) = 138/60

PART-2
distance travelled by debbie = 5 miles
speed of debbie for 5 miles = 70 mi / hr
time taken by debbie(PART-2) = 5 / 70

Total time = PART-1 + PART-2 = (138 / 60) + (5 / 70) = 2 hours 22 minutes

ANSWER: 2 hours 22 minutes

2. James Drive time (in hours and minutes)

distance travelled by james = 143 miles
speed of james = 70 mi / hr

time taken by james = 143 / 70 = 2 hours 2.58 minutes

ANSWER: 2 hours, 3 minutes
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Re: James and Debbie live 286 miles apart. They drive to meet each other a [#permalink] New post   11 Oct 2023, 22:40
Distance traveled by each=286/2=143

i) Time for 143-5=138 miles taken by Debbie at 60mph= 138/60
Time for last 5 miles at 70 mph= 5/70
Debbie travels for 138/60+5/70= 2 hrs 22 mins

ii) Time taken by James at 70 mph = 143/70= 2hr 3 mins
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Re: James and Debbie live 286 miles apart. They drive to meet each other a [#permalink] New post   13 Oct 2023, 01:50
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The correct answers are 2 hours and 22 minutes for Debbie and 2 hours and three minutes for James.

Both Debbie and James travel half of the 286-mile journey, or a total of 143 miles. Debbie travels 138 miles at 60 miles per hour and 5 miles at 70 miles per hour.

For the first miles 138, she travels for 138/60, or 2.3 hours. For the last 5 miles, she travels for 5/70, or 0.071 hours. To convert the decimals to minutes, multiply by 60. She travels 2 hours plus (0.371*60), or 22 minutes.

James travels 143 miles at 70 miles per hour. He travels for 143/70, or 2.043 hours. That is approximately 2 hours and 3 minutes.
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Re: James and Debbie live 286 miles apart. They drive to meet each other a [#permalink]
13 Oct 2023, 01:50
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