a man who has to walk 11km find that in 30 min he has travelled two-ninth of the remaining distance what is his speed in kmh
Answers
Answer:
4 km/h
Step-by-step explanation:
Let the remaining distance to be covered be x
so, 2/9 x + x = 11km
x(2/9+1)=11
x(11/9)=11
x=9km
distance covered =2/9 x = 2km
Speed = distance covered / time taken
= 2km/30min
=2km/0.5h
=4km/h
Solution :-
Let us assume that the remaining distance is x km .
So,
→ (2/9) of remaining distance = (2/9) * x = (2x/9) km .
then,
→ Total distance = 11 km
→ (2x/9) + x = 11
→ (2x + 9x)/9 = 11
→ (11x/9) = 11
→ 11x = 11 * 9
→ x = 1 * 9 = 9 km .
therefore,
→ Distance covered by man = (2/9) of x = (2/9) * 9 = 2 km .
→ Time taken = 30 minutes = (30/60) = (1/2) hour .
hence,
→ Speed = Distance / Time
→ Speed = 2/(1/2) = 2 * (2/1) = 4 km/h (Ans.)
Hence, speed of man is 4 km/h .
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