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# Distance-Speed-Time: Anand and Bhim take a trip

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Manager
Joined: 08 Jun 2013
Posts: 141
Location: India
GMAT 1: 200 Q1 V1
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WE: Engineering (Other)
Distance-Speed-Time: Anand and Bhim take a trip  [#permalink]

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13 Jul 2018, 07:18
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Question Stats:

100% (01:13) correct 0% (00:00) wrong based on 3 sessions

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Anand and Bhim take a trip in Anand's car. On the first leg of the trip, they drive 80 km per hour to their destination. On the second leg, they turn around and return by the same route in 4 hours. How long do they spend driving on the first leg?

STATEMENT 1:

Their average speed for the entire trip is 70 km per hour.

STATEMENT 2:

The distance to their destination is 240 km.

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Status: Perfecting myself for GMAT
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Re: Distance-Speed-Time: Anand and Bhim take a trip  [#permalink]

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13 Jul 2018, 08:14
To find how long do Anand and Bhim spend driving on the first leg

Let 'd' be the distance from starting point to the destination and they are driving at 80 km/h4

=> Speed * Time = Distance

=> 80 * t = d

=> $$t = \frac{d}{80}$$

So if we can find the value of 'd' we get the value of 't'

Statement 1

Their average speed for the entire trip is 70 km per hour.

Average speed = $$\frac{Total distance}{Total time}$$

=> 70 = $$\frac{d}{(t + 4)}$$

=> 70 = $$\frac{d}{(d/8 + 4)}$$

From above equation, we get the value of d and hence the value of 't'

Statement 1 is sufficient

Statement 2

The distance to their destination is 240 km.

=> d = 240 and hence we can get the value of 't'

Statement 1 is sufficient alone
Statement 2 is sufficient alone

Hence option D
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Joined: 02 Aug 2009
Posts: 6525
Re: Distance-Speed-Time: Anand and Bhim take a trip  [#permalink]

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13 Jul 2018, 09:30
Poor question...
240 km so while going time taken = 240/80=3 hr..

so total time = 3+4 = 7 hr and distance travelled = 240*2/7=480/7 not equal to 70
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: Distance-Speed-Time: Anand and Bhim take a trip &nbs [#permalink] 13 Jul 2018, 09:30
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