Practice MCQ Questions and Answer on Speed Time and Distance
71.
Aryan runs at a speed of 40 meters/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metres/minute. Rahul's dog runs at a speed of 60 metres/minute and starts along with Rahul. The dog reaches Aryan and then comesback to Rahul, and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog ?
- (A) 600 m
- (B) 750 m
- (C) 980 m
- (D) 1200 m
72.
A train, 300m long, passed a man, walking along the line in the same direction at the rate of 3 kmph in 33 seconds. The speed of the train is:
- (A) 30 kmph
- (B) 32 kmph
- (C) $$32\frac{8}{{11}}$$ kmph
- (D) $$35\frac{8}{{11}}$$ kmph
73.
A runs $$\frac{7}{4}$$ times as fast as B. If A gives B a start of 300 m, how far must the winning post be if both A and B have to end the race at same time?
- (A) 1400 m
- (B) 700 m
- (C) 350 m
- (D) 210 m
74.
P and Q are 27 km away. Two trains with speed of 24 km/hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is :
- (A) 126 km
- (B) 81 km
- (C) 48 km
- (D) 36 km
75.
A student walks from his house at a speed of $$2\frac{1}{2}$$ km per hour and reaches his school 6 minutes late. The next day he increases his speed by 1 km per hours and reaches 6 minutes before school time. How far is the school from his house ?
- (A) $$\frac{5}{4}$$ km
- (B) $$\frac{7}{4}$$ km
- (C) $$\frac{9}{4}$$ km
- (D) $$\frac{11}{4}$$ km
76.
A train running at a speed of 54 km/hr crosses a platform in 30 seconds. The platform is renovated and its length is doubled. Now, the same train running at same speed crosses the platform in 46 seconds. Find the length of the train.
- (A) 180 metres
- (B) 200 metres
- (C) 210 metres
- (D) 240 metres
77.
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 ?
- (A) 36 kmph
- (B) 45 kmph
- (C) 48 kmph
- (D) 50 kmph
78.
A person travels three equal distance at a speed of x km/hr, y km/hr and z km/hr respectively. What is the average speed for the whole journey ?
- (A) $$\frac{{xyz}}{{3\left( {xy + yz + zx} \right)}}$$ km/hr
- (B) $$\frac{{xyz}}{{\left( {xy + yz + zx} \right)}}$$ km/hr
- (C) $$\frac{{\left( {xy + yz + zx} \right)}}{{xyz}}$$ km/hr
- (D) $$\frac{{3xyz}}{{\left( {xy + yz + zx} \right)}}$$ km/hr
79.
A is twice fast as B and B is thrice fast as C is. The journey covered by C in $$\frac{3}{2}$$ hours will be covered by A is:
- (A) 15 minutes
- (B) 20 minutes
- (C) 30 minutes
- (D) 1 hour
80.
To cover a distance of 416 km, a train A takes $$2\frac{2}{3}$$ÃÂÃÂ hours more than train B. If the speed of A is doubled, it would take $$1\frac{1}{3}$$ÃÂÃÂ hours less than B. What is the speed (in km/h) of train A?
- (A) 54
- (B) 56
- (C) 52
- (D) 65