Subject
Quantitative Aptitude
Topic
Speed & Distance
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
ক)
4 km/hrখ)
6 km/hrগ)
8 km/hrঘ)
Data inadequateExplanation
Given: Upstream speed = 8 kmph Downstream speed = 13 kmph Find: Speed of the stream Let: Speed of boat in still water = B kmph Speed of stream = C kmph Setting up equations: Downstream: Boat speed + Stream speed = B + C = 13 kmph ... (1) Upstream: Boat speed - Stream speed = B - C = 8 kmph ... (2) Solving the system of equations: Adding equations (1) and (2): Subtracting equation (2) from (1): Verification: Downstream: 10.5 + 2.5 = 13 kmph ✓ Upstream: 10.5 - 2.5 = 8 kmph ✓Related questions
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