Two cars travel away from each other in opposite directions at 24 miles per hour and 40 miles per hour respectively. If the first car travels for 20 mins and the second car for 45 min, how many miles apart will they be at the end of their trips ?

22

24

30

38

42

## I am having trouble with distance calculation (2)

##### This topic has expert replies

- candygal79
- Senior | Next Rank: 100 Posts
**Posts:**49**Joined:**10 Feb 2014**Followed by:**3 members

- theCodeToGMAT
- Legendary Member
**Posts:**1556**Joined:**14 Aug 2012**Thanked**: 448 times**Followed by:**34 members**GMAT Score:**650

Speed = 24 & 40

Time of first car = 20 mins = 1/3 hr

TIme of Second Car = 45min = 3/4 hr

Distance travelled by first car = 24 * 1/3 = 8 miles

Distance travelled by second car = 40 * 3/4 = 30 miles

Total Gap = 30+8 = 38 miles

Time of first car = 20 mins = 1/3 hr

TIme of Second Car = 45min = 3/4 hr

Distance travelled by first car = 24 * 1/3 = 8 miles

Distance travelled by second car = 40 * 3/4 = 30 miles

Total Gap = 30+8 = 38 miles

R A H U L

**SUM**of the distance traveled by them. The distance between them will be given by

24 miles/hr X (20/60)hr +40 miles/hr X(45/60)hr

8 miles + 30 miles =

**38 miles**

- GMATGuruNY
- GMAT Instructor
**Posts:**15521**Joined:**25 May 2010**Location:**New York, NY**Thanked**: 13060 times**Followed by:**1894 members**GMAT Score:**790

<-----Car A-----X-----Car B----->Two cars travel away from each other in opposite directions at 24 miles per hour and 40 miles per hour respectively. If the first car travels for 20 mins and the second car for 45 min, how many miles apart will they be at the end of their trips ?

22

24

30

38

42

Let X = the starting point for both cars.

RED distance:

This distance is traveled by Car A at speed of 24 mph.

Since the time is 20 minutes -- the equivalent of 1/3 of an hour -- we get:

Red distance = r*t = (24)(1/3) = 8 miles.

BLUE distance:

This distance is traveled by Car B at speed of 40 mph.

Since the time is 45 minutes -- the equivalent of 3/4 of an hour -- we get:

Blue distance = r*t = (40)(3/4) = 30 miles.

Total distance between the 2 cars:

Red distance + blue distance = 8+30 = 38 miles.

The correct answer is D.

Mitch Hunt

Private Tutor for the GMAT and GRE

GMATGuruNY@gmail.com

If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.

Available for tutoring in NYC and long-distance.

For more information, please email me at GMATGuruNY@gmail.com.

Student Review #1

Student Review #2

Student Review #3

Private Tutor for the GMAT and GRE

GMATGuruNY@gmail.com

If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.

Available for tutoring in NYC and long-distance.

For more information, please email me at GMATGuruNY@gmail.com.

Student Review #1

Student Review #2

Student Review #3

- Abhishek009
- Master | Next Rank: 500 Posts
**Posts:**359**Joined:**11 Mar 2009**Location:**INDIA**Thanked**: 50 times**Followed by:**2 members

candygal79 wrote:Two cars travel away from each other in opposite directions at 24 miles per hour and 40 miles per hour respectively. If the first car travels for 20 mins and the second car for 45 min, how many miles apart will they be at the end of their trips ?

**||**======================A

**|**B==========================

**||**

Distance covered by car A is 20 Minutes is = 1/3 * 24 => 8 milescandygal79 wrote:If the first car travels for 20 mins

**||**==================

**8 Miles**===============A

**|**B

Distance covered by car B is 20 Minutes is = 45/60 * 40 => 3/4 * 40 => 30 miles.candygal79 wrote:The second car for 45 min, how many miles apart will they be at the end of their trips ?

A

**|**B==================30 Miles=====================

**||**

So the complete Picture stands as -

**||**==========8 Miles==========A

**|**B==========30 Miles===========

**||**

So , The two Cars are 38 Miles apart.

Hope this helps you to some extent.

Abhishek