Question

A boat takes 2 hours 20 minutes to cover 140 km downstream and 2.5 hours to cover 75 km upstream. If the boat covers 'y' km upstream and '2y' km downstream in 8 hours, find the value of 1.5y .

Q: Answer-A boat takes 2 hours 20 minutes to cover 140 km downstream and 2.5 hours to cover 75 km upstream. If...

ATQ, Downstream speed 140 2.33 60 kmh Upstream speed 75 2.5 30 kmh Now, y 30 2y 60 8 2y 2y 60 8 4y 480 y 120 Required value 1.5 120 180

A 120 Correct Incorrect

B 180 Correct Incorrect

C 100 Correct Incorrect

D 140 Correct Incorrect

E None of these Correct Incorrect

Detailed Solution

ATQ,
Downstream speed = (140 ÷ 2.33) = 60 km/h Upstream speed = (75 ÷ 2.5) = 30 km/h Now, (y ÷ 30) + (2y ÷ 60) = 8 ⇒ (2y + 2y) ÷ 60 = 8 ⇒ 4y = 480 ⇒ y = 120 Required value = 1.5 × 120 = 180

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