# P,Q and R started their journey at the same time from Delhi to Mumbai

| P,Q and R started their journey at the same time from Delhi to Mumbai . P reached its destination 3 hours sooner whereas Q reached 3 hours later than the R. If the speed of the P and Q was 70 km/hr and 42 km/hr respectively then find the speed of the R?

A. 50 km/hr

B. 52.5 km/hr

C. 62.5 km/hr

D. 55 km/hr

### Right Answer is: B

#### SOLUTION

Let R reached at its destination by travelling x km in t hours .

P reached at its destination in t-3 hours .

Q reached at its destination in t+3 hours .

Also speed of the P and Q was 70 km/hr and 42 km/hr respectively

Condition (1)

So …………………….(1)

Condition (2)

So ………………….(2)

From (1) and (2)

⇒

⇒ t = 12 hours

Put value of t in equation (2)

km

speed of the R =

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P,Q and R started their journey at the same time from Delhi to Mumbai