


36.
A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km. [Assistant Grade 1997]
37.
A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is: [R.R.B 2001]
38.
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is: [U.P.S.C 2002]
39.
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 144 hours. Then, A s speed is equal to: [I.A.F. 2002]
Answer & Solution
Answer: b) 4 km/hr
Solution: Let A s speed = x km/hr. Then, B s speed = (7  x) km/hr. So, (24/x) + 24/(7  x) = 14 => 24 (7  x) + 24x = 14x (7  x) => 14 x^2  98x + 168 = 0 => x^2  7x + 12 = 0 => (x  3) (x  4) = 0 => x = 3 or x = 4 Since A is faster than B. So, A s speed = 4 km/hr B s speed = 3 km/hr. 40.
A person travels from P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both the trips? [M.B.A 2003]
41.
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 40 km/hr. In the return trip, he covers the same distance at an average speed of 20 km/hr. The average speed of the car over the entire distance of 400 km is:
42.
Mac travels from A to B a distance of 250 miles in 5 1/2 hours. He returns to A in 4 hours 30 minutes. His average speed is:
