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In a race, a car travelled at a speed of 150 kmph. If it had travelled at 180 kmph, it would have completed the race before 3 minutes. Find the length of the track ?
A. 40 km
B. 30 km
C. 50 km
D. 45 kmIf a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river ?
A. (6 , 4) km/hr
B. (10 , 4) km/hr
C. (7 , 3) km/hr
D. (14 , 8) km/hry: speed of the river
Downstream speed (Ds) = x + y
Upstream speed (Us) = x – y
x = (Ds + Us) / 2
y = (Ds – Us) / 2
In the above problem Ds = 10 ; Us = 4
x = (10 + 4) / 2 = 14/2 = 7 km/hr
y = (10 – 4)/2 = 6/2 = 3 km/hrExcluding stoppages, the average speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour ?
A. 23
B. 16
C. 10
D. 7Due to stoppages, the bus travels only 45 kms in an hour (9 kms less). To cover a distance of 9 km at a speed of 54 kmph, time taken
= 9/54 = 1/6 hrs = 10 mins.Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart ?
A. 19 hr
B. 17 hr
C. 4 hr
D. 12 hrRelative speed = 5.5 – 5 = .5 kmph (because they walk in the same direction)
distance = 8.5 kmtime = distance/speed=8.5/.5=17 hr
A cyclist covers a certain distance in 50 minutes at a speed of 24 kmph. To cover the same distance in 40 minutes, he should travel at a speed of ?
A. 25 kmph
B. 20 kmph
C. 27 kmph
D. 30 kmphDistance = 24*50/60 = 20 km New Speed = 20/(40/60)) = 30 kmph
If Arslan drives at 4/5th of his usual speed to his office, he is 6 minutes late. What is his usual time to reach his office ?
A. 30
B. 18
C. 24
D. 36At v1 = 4v/5 ; t1 = t + 6
4v/5 = d/(t + 6)
4v/5* (t + 6) = d
4v/5* (t + 6) = vt
On solving we get,
t = 24 minutesJabbar and Bilal, 110 km apart, start cycling towards each other. If Jabbar covers a distance of 6 km to Bilal’s 5 km, how far will Jabbar have travelled when they meet ?
A. 50 km
B. 60 km
C. 66 km
D. 55 kmA car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car ?
A. 35 km/hr
B. 40 km/hr
C. 30 km/hr
D. 25 km/hrA man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately ?
A. 10.2 kmph
B. 10.8 kmph
C. 11.2 kmph
D. 10 kmphA man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man ?
A. 45
B. 40
C. 47.5
D. 50