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# To arrive at its destination on time the bus should have

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VP
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 689 [0], given: 1

To arrive at its destination on time the bus should have [#permalink]

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30 Oct 2008, 03:08
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To arrive at its destination on time the bus should have maintained a speed of $$V$$ kmh throughout the journey. Instead, after going the first third of the distance at $$V$$ kmh, the bus increased its speed and went the rest of the distance at $$(1.2)*V$$ kmh. As a result, the bus arrived at its destination $$X$$ minutes earlier than planned. What was the actual duration of the trip?

1. $$V = 60$$
2. $$X = 20$$
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"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 689 [0], given: 1

SVP
Joined: 17 Jun 2008
Posts: 1540

Kudos [?]: 278 [0], given: 0

Re: DS : BUS [#permalink]

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30 Oct 2008, 03:48
B.

If d is the total distance covered, then,
(d/v)*(1/3 + 2/3*1/1.2) = d/V - X
or, d/V = 9X/60

If we know X, we will get to know d/v and hence actual time taken and that will be d/V - X

Kudos [?]: 278 [0], given: 0

Senior Manager
Joined: 21 Apr 2008
Posts: 269

Kudos [?]: 162 [0], given: 0

Location: Motortown
Re: DS : BUS [#permalink]

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30 Oct 2008, 14:22
B

X = (d/3)/v + (2d/3)/1.2v
X = d/v(1/3+2/3/1.2)

All we need to find is d/v
stmt2 is Sufficient

Kudos [?]: 162 [0], given: 0

Re: DS : BUS   [#permalink] 30 Oct 2008, 14:22
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# To arrive at its destination on time the bus should have

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