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Time and Distance Practice Test 2 with solutions
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© examsnet.com
Question : 35
Total: 40
Two cars leave from A to B such that the second leaves 2 hours after the first, but still both reach at the same time. Find the time taken by the faster car if the difference in their speed is 20 km/hr and the distance from A to B is 150 km.
1.5 hours
5 hours
3 hours
4 hours
3.5 hours
Validate
Solution:
Let the speed of the slower car = x km/hour
The speed of the faster car = (x + 20) km/hour
150
x
−
150
x
+
20
= 2
⇒
x
+
20
−
x
x
2
+
20
x
=
1
75
x
2
+ 20x - 1,500 = 0
(x + 50) (x - 30) = 0
x = 30
So, the speed of the faster car = 50 km/hour
Time taken by the faster car =
150
50
= 3 hours
© examsnet.com
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