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James and Sara are traveling on a highway from town A to town B. James

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James and Sara are traveling on a highway from town A to town B. James  [#permalink]

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New post Updated on: 25 Nov 2018, 21:45
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Question Stats:

75% (02:53) correct 25% (03:09) wrong based on 122 sessions

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James and Sara are traveling on a highway from town A to town B. James is behind Sara and traveling at a constant rate of 72 miles per hour while Sara is traveling at a rate of 48 miles per hour. If James passes Sara on the road at 12:30 p.m and pulls over to wait for Sara at 1.15 p.m. How many minutes will James have to wait before Sara will catch up to him?

A. 21.5 minutes

B. 22 minutes

C. 22.5 minutes

D. 45 minutes

E. 45.5 minutes

Originally posted by Jazzmin on 25 Nov 2018, 14:24.
Last edited by chetan2u on 25 Nov 2018, 21:45, edited 1 time in total.
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Re: James and Sara are traveling on a highway from town A to town B. James  [#permalink]

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New post 25 Nov 2018, 21:45
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Jazzmin wrote:
James and Sara are traveling on a highway from town A to town B. James is behind Sara and traveling at a constant rate of 72 miles per hour while Sara is traveling at a rate of 48 miles per hour. If James passes Sara on the road at 12:30 p.m and pulls over to wait for Sara at 1.15 p.m. How many minutes will James have to wait before Sara will catch up to him?

A. 21.5 minutes

B. 22 minutes

C. 22.5 minutes

D. 45 minutes

E. 45.5 minutes



Please post OA too ...

So they both meet at 12:30 and keep moving till 01:15, which makes it 45 minutes..
Now James can take a lead of (72-48) or 24 miles in 1 hour, so in 45 minutes, J is ahead by 24*3/4=18 miles..

Now we have to see how much time Sara takes to cover this 18 miles..
Sara travels 48 miles in 60 min, so 1 mile in 60/48 or 5/4 minutes..
Therefore, she will travel 18 miles in 18*5/4=45/2=22.5 minutes..

C
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Re: James and Sara are traveling on a highway from town A to town B. James  [#permalink]

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New post 03 Jul 2019, 10:43
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Jazzmin wrote:
James and Sara are traveling on a highway from town A to town B. James is behind Sara and traveling at a constant rate of 72 miles per hour while Sara is traveling at a rate of 48 miles per hour. If James passes Sara on the road at 12:30 p.m and pulls over to wait for Sara at 1.15 p.m. How many minutes will James have to wait before Sara will catch up to him?

A. 21.5 minutes

B. 22 minutes

C. 22.5 minutes

D. 45 minutes

E. 45.5 minutes


In 45 min, distance James travelled = 72*(3/4)
= 54miles
In the same time, distance Sara travelled = 48*(3/4)
= 36miles
Now, James has to wait until Sara covers the remaining distance i.e., = 54-36=18miles

Time taken by Sara= (18/48)*60
=22.5min

Answer=C
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Re: James and Sara are traveling on a highway from town A to town B. James   [#permalink] 03 Jul 2019, 10:43
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James and Sara are traveling on a highway from town A to town B. James

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