A bus can travel 66.66% faster than a car. Both start from point X at the same time and reach point

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23 Sep 2022 Time Distance & Speed

A bus can travel 66.66% faster than a car. Both start from point X at the same time and reach point Y which is 114 kms away from X at the same time. On the way, however, the bus lost about 48 minutes while stopping at the stations. The speed of the bus (in km/hr) is:

OPtion

1) 100.5
2) 94.5
3) 59
4) 57
5) 76
6) 95
7) 75
8) 92
9) 87
10) None of these

Solution

Let speed of the car=x km/hr, then speed of the bus=(166.66/100)*x=1.6666x=5x/3
Time taken by bus while travelling + Time of stoppages = Time taken by car
114/(5x/3) + 48/60 = 114/x
(342 + 4x) / 5x = 114/x
4x = 228
x = 57
.'. Speed of the bus = 5x/3 = 5*57/3 = 95 km/hr
Correct Option 6)

Correct Option: 6 Best Solution (0)