To arrive at its destination on time the bus should have : DS Archive
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To arrive at its destination on time the bus should have

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

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30 Oct 2008, 02:08
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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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30 Oct 2008, 02:48
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
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30 Oct 2008, 13:22
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
Re: DS : BUS   [#permalink] 30 Oct 2008, 13:22
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