Quantitative Aptitude – Arithmetic – TSD – A motorbike leaves point A
Quantitative Aptitude – Arithmetic – Time Speed and Distance
Question
A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B?
A) 364
B) 378
C) 380
D) 388
Answer
Option (B)
Solution
From CAT 2017 – Quantitative Aptitude – Arithmetic – Time Speed and Distance, we can see that,
Speed of motorbike = s
Speed of car = 2s
Distance covered by motorbike in 1 hr = s km
Motorbike takes 2hrs 40 mins to reach the point where both car and motorbike meet.
In 2 hrs 40 mins, motorbike will cover a distance of 8s/3 = 168. So, s = 63
Since, speed of car is double than motorbike. So,
Distance covered by car in 1 hr 40 mins = 2 * Distance covered by motorbike in 1 hr 40 mins
Distance covered by motorbike in 1 hr 40 mins = 105 km
Distance covered by car in 1 hr 40 mins = 210 km
So, total distance = 168 + 210 = 378 km
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