A bus can cover x km distance with speed of p km/hr in four hours. The speed…
2024
A bus can cover x km distance with speed of p km/hr in four hours. The speed of stream is q km/hr and a boat covers x km distance in downstream & upstream with speed of p km/hr in total 9 hours. If boat takes 1 hour more to cover 30 km upstream that 20 km downstream, find the value of ‘x’?
- A.
3p + 2q
- B.
60 + 2q + 30
- C.
5q + p
- D.
(1.5p + 4q) + 35
- E.
4q + 2p
Attempted by 3 students.
Show answer & explanation
Correct answer: D
The bus condition gives x = 4p.
For the boat, x/(p+q) + x/(p-q) = 9. Substituting x = 4p gives q = p/3.
Also, 30/(p-q) is one hour more than 20/(p+q). Using q = p/3 gives p = 30 and q = 10, so x = 120. Among the options, (1.5p + 4q) + 35 = 45 + 40 + 35 = 120.