Question

The downstream speed of a boat is 48 km/hr, while its upstream speed is 32 km/hr. The boat takes 10 hours to travel a distance of (p + 40) km downstream and (q + 60) km upstream. Additionally, it takes 13 hours to travel (p + 56) km upstream and (q + 140) km downstream. Determine the value of (p +
q).

Q: Answer-The downstream speed of a boat is 48 km/hr, while its upstream speed is 32 km/hr. The boat takes 10...

ATQ, p 4048 q 6032 10 2p 80 3q 18096 10 2p 3q 960 260 700 i Also, p 5632 q 14048 13 3p 168 2q 28096 13 3p 2q 1248 448 3p 2q 800 ii Solving equation, i and ii, we get, p 200 and q 100 Hence, required sum p q 200 100 300

A 450

B 250

C 320

D 300

E none of these

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