SSC CGL 11 Aug 2017 Shift 1 Paper

Question : 59 of 100

Marks: +1, -0

A bus travels

2/5

of a total journey at its usual speed. The remaining distance was covered by bus at

6/7

of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 km, then what is the usual speed (in km/hr) of bus?

20.57
24
28
26.52

Validate

Solution:

Let the usual speed of bus = v km /h
According to the question,

{200× 2/5}/v+{200× 3/5}/{v× 6/7}-200/v=50/60

⇒

80/ v+{120× 7}/{6v}-200/v=5/6

⇒

{480+ 8 40-1200 }/{6v}=5/6

⇒

120 = 5v

∴ v = 24 km /h
So, the usual speed of bus =24 km /h

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