Two types of vehicles used by Haikal(motorcycle) and Rashid(bicycle) to reach destination x of 5km distance. They departed at the same time but reached the destination at a different time. Haikal travelled at 40km per hour whereas Rashid took 30 minutes to reach the destination. (a) Calculate the time taken by Haikal to reach destination x. (b) What is Rashid's speed?
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CAT 2017 Question Paper Quants Slot 2 Speed Time Distance
Given that motorbike leaves point A at 1 pm and moves towards point B.
Car leaves at point B at 2 pm and moves towards point A where the speed is equal to double that of motor bike.
Both meet at 3.40 pm at a point which is 168 km away from A
Bike travelled from 1 to 3:40 pm = 83 hrs at a speed of x
Car travelled from 2 to 3:40 pm = 53 hrs at a speed of 2x
83 × x = 168
53 × 2x = ?
This is in the ratio 8 : 10 = 168 : ?
⟹ 4 : 5 = 168 : ?
⟹ 168×58 = 210
CAT 2017 Question Paper Quants Slot 2 Speed Time Distance
A : B = 4 : 5 = 168 : 210
The distance, in km, between A and B is 168 + 210 = 378 kms
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