Rahul covers a distance from P to Q on bicycle at 10 km/h and returns back at 9 km/h. Anuj covers the distance from P to Q and Q to P both at 12 km/h. On calculation we find that Anuj took 10 minutes less than Rahul. Find the distance between P and Q ?
Answers
Answer:
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Given :--
- Rahul Speed when going From P to Q=10km/h.
- Rahul Speed when going From Q to P=9km/h.
- Anuj Speed when going From P to Q=12km/h.
- Anuj Speed when going From Q to P=12km/h.
- Anuj Took 10 minutes Less than Rahul ...
To Find :---
- Distance Between P and Q.. ?
Solution :---
Let the Distance b/w, P and Q is = D km .
→ Rahul take time to reach From P to Q now = Distance/Speed = D/10 hours.
→ Rahul take time to reach From Q to P now = D/9 hours.
→ Total Time taken by Rahul in whole Journey =
= D/10 + D/9 = (19D/90) hours.
Similarly,
→ Anuj take time to reach From P to Q now = Distance/Speed = D/12 hours.
→ Anuj take time to reach From Q to P now = D/12 hours.
→ Total Time taken by Rahul in whole Journey =
= D/12 + D/2 = (D/6) hours.
__________________________
It has been said that now, Anuj took 10 min Less than rahul ,
→ 60 min ---------- 1 hour
→ 10 min ----------- (1/6) hours.
So, According to Question now,
→ (19D/90) - (D/6) = 1/6
Taking LCM
→ (19D - 15D)/90 = 1/6
→ 4D/90 = 1/6
Cross - Multiply now ,
→ 24D = 90
→ D = 90/24
→ D = 3.75km .