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A man travelled at 40 kmph. Had he increased his speed by 16 kmph, he would have covered 80 km more in the same time.
Find the actual distance travelled?
Find the actual distance travelled?
- A400 km
- B200 km
- C300 km
- D480 km
Answer not set
Discussion 1
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CCommunity
Let the distance covered at 40 kmph be x km
⇒ Time = distance/speed = x/40
Given that as he increased his speed by 16 kmph, then he covered 80 km more
⇒ Time = (x + 80)/(40 + 16)
⇒ Time = (x + 80)/(56)
Also given that time is same in both the cases
⇒ x/40 = (x + 80)/56
⇒ 56x = 40x + 3200
⇒ 16x = 3200
⇒ x = 200 km
∴ Actual distance covered = 200 km
⇒ Time = distance/speed = x/40
Given that as he increased his speed by 16 kmph, then he covered 80 km more
⇒ Time = (x + 80)/(40 + 16)
⇒ Time = (x + 80)/(56)
Also given that time is same in both the cases
⇒ x/40 = (x + 80)/56
⇒ 56x = 40x + 3200
⇒ 16x = 3200
⇒ x = 200 km
∴ Actual distance covered = 200 km