Milkha Singh covers a distance at a certain speed. Had he walked one km per hour faster he would have taken 1 hour less? But if he had two km per hour slower; he would have taken 5 hours. More. Find the distance covered by him.
Answers
Given :- Milkha Singh covers a distance at a certain speed. Had he walked one km per hour faster he would have taken 1 hour less . But if he had two km per hour slower; he would have taken 5 hours more. Find the distance covered by him.
Answer :-
Let us assume that, initial speed of Milkha singh is S km / h and actual time taken by him is T hours.
so,
→ Actual speed * Late time = Reduced speed * (T + Late time)
→ S * 5 = 2(T + 5)
→ 5S = 2T + 10
→ 5S - 2T = 10 ------ Eqn.(1)
and,
→ Actual speed * Early time = Increased speed * (T - Early time)
→ S * 1 = 1(T - 1)
→ S = T - 1 ------ Eqn.(2)
Putting value of Eqn.(2) in Eqn.(1) ,
→ 5(T - 1) - 2T = 10
→ 5T - 2T - 5 = 10
→ 3T = 15
→ T = 5 hours.
putting value of T in Eqn.(2) ,
→ S = 5 - 1 = 4 km/h .
therefore,
→ The distance covered by him = 5 * 4 = 20 km (Ans.)
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