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Question

A starts towards Q from P at 9 am with a speed of 60 km/hr. B starts from Q to P a little later and travels at 80 km/hr. They meet when B has traveled 60 km. If both reach their destinations at the same time, then what is the distance between P and Q?

A
120 km
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B
210 km
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C
140 km
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D
150km
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E
none of these
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Solution

The correct option is C 140 km

Option (c)

The Speed ratio of A&B = 3:4

Therefore the time ratio = 4:3

It is given that they both reach their respective destinations at the same time. This effectively means that A needs to travel another 60 km, which will take him 1 hour.

In the same 1 hr, B will travel 80 km. thus, the total distance = 80+60=140 km


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