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### Mathematical Skills | Time, Speed and Distance

A and B go by Bus from X to Z which is on the way to Y. C goes from Y to Z by Auto. A and B's Bus goes at 75km/hr and C's auto moves at 15km/hr. All the three start at 6:00am. After travelling some distance, B sees another friend D going by Cycle at 25km/hr to Z. B and A go ahead, meet C and pick him up. They return immediately to Z at the same time. The distance between X and Y is 600km and XZ is 400km.
 Q. No. 1: What is the time for the entire journey? A : 10 hour B : 6 hour C : 8 hour D : 9 hour Solution
 Q. No. 2: What is the total distance travelled by A? A : 480 km B : 450 km C : 550 km D : 600 km Solution
 Q. No. 2: The speed of a bus during the second hour of its journey is twice that in the first hour. Also, its speed during the third hour is two-third the sum of its speeds in the first two hours. Had the bus travelled for three hours at the speed of the first hour, it would have travelled 120 km less. Find the average speed of the bus for the first three hours. A : 60 kmph B : 70 kmph C : 80 kmph D : 100 kmph Solution
 Q. No. 3: In a 500m race Dishu beats Abhishek by 100m or 5 seconds. In another race on the same track at the same speeds. Abhishek and Prashant start at one end while Dishu starts at the opposite end. How many metres would Abhishek have covered, by the time Dishu meets Prashant given that Dishu's speed is 10 m/sec more than that of Prashant. A : 200 m B : 225 m C : 250 m D : 275 m Solution
 Q. No. 4: A ball is thrown twice from a place with the gap of 34 minutes between the two shots. A person approaching this point in a bus heard the second shot 33 minutes after he heard the the first shot. What is the speed of bus (in kmph) if sound travels at 330 m/s? A : 30 B : 33 C : 36 D : 42 Solution
 Q. No. 5: P beats Q by 5 seconds in a  race of 1000m and Q beats R by 5 metres in a race of 100m. By how many seconds does P beats R in a race of 1000m? A : 5 sec B : 7 sec C : 10 sec D : Cannot be determined Solution
 Q. No. 6: Starting from my office, I reach the house 20 min late if I walk at 3kmph. Instead, if I walk at 4kmph, I reach the house 15 min early. How far is my house from my office? A : 4km B : 5km C : 7km D : 6km Solution
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