1. An urgent message had to be delivered from the house of the Peshwas in Pune to Shivaji who was
camping in Bangalore. A horse rider travels on horse back from Pune to Bangalore at a constant
speed. If the horse increased its speed by 6 km/h, it would take the rider 4 hours less to cover that
distance. And travelling with a speed 6 km/h lower than the initial speed, it would ake him 10
hours more than the time he would have taken had he travelled at a speed 6 kmph higher than the
initial speed. Find the distance between Pune and Bangalore.
(a) 120 km
(b) 600 km
(c) 720 km
(d) 750 km
2. A bus left point X for point Y. Two hours later a car left point X for Y and arrived at Y at the same
time as the bus. If the car and the bus left simultaneously from the opposite ends X and Y towards
each other, they would meet 1.33 hours after the start. How much time did it take the bus to travel
from X to Y?
(a) 2 h
(b) 4 h
(c) 6 h
(d) 8 h
3. Karim, a tourist leaves Ellora on a bicycle. Having travelled for 1.5 h at 16 km/h, he makes a stop
for 1.5 h and then pedals on with the same speed. Four hours after Karim started, his friend and
local guide Rahim leaves Ellora on a motorcycle and rides with a speed of 28 km/h in the same
direction as Karim had gone. What distance will they cover before Rahim overtakes Karim?
(a) 88 km
(b) 90.33 km
(c) 93.33 km
(d) 96.66 km
4.A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5
minutes and, therefore, to make up for the lost time he increased his speed by 10 km/h. Find the
initial speed of the motorcyclist if the total path covered by him is equal to 50 km.
(a) 36 km/h
(b) 48 km/h
(c) 50 km/h
(d) 62 km/h
5. Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who
is coming towards the place in a train hears the second sound after 11 minutes. Find the speed of
train.
(a) 72 km/h
(b) 36 km/h
(c) 81 km/h
(d) 108 km/h
camping in Bangalore. A horse rider travels on horse back from Pune to Bangalore at a constant
speed. If the horse increased its speed by 6 km/h, it would take the rider 4 hours less to cover that
distance. And travelling with a speed 6 km/h lower than the initial speed, it would ake him 10
hours more than the time he would have taken had he travelled at a speed 6 kmph higher than the
initial speed. Find the distance between Pune and Bangalore.
(a) 120 km
(b) 600 km
(c) 720 km
(d) 750 km
2. A bus left point X for point Y. Two hours later a car left point X for Y and arrived at Y at the same
time as the bus. If the car and the bus left simultaneously from the opposite ends X and Y towards
each other, they would meet 1.33 hours after the start. How much time did it take the bus to travel
from X to Y?
(a) 2 h
(b) 4 h
(c) 6 h
(d) 8 h
3. Karim, a tourist leaves Ellora on a bicycle. Having travelled for 1.5 h at 16 km/h, he makes a stop
for 1.5 h and then pedals on with the same speed. Four hours after Karim started, his friend and
local guide Rahim leaves Ellora on a motorcycle and rides with a speed of 28 km/h in the same
direction as Karim had gone. What distance will they cover before Rahim overtakes Karim?
(a) 88 km
(b) 90.33 km
(c) 93.33 km
(d) 96.66 km
4.A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5
minutes and, therefore, to make up for the lost time he increased his speed by 10 km/h. Find the
initial speed of the motorcyclist if the total path covered by him is equal to 50 km.
(a) 36 km/h
(b) 48 km/h
(c) 50 km/h
(d) 62 km/h
5. Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who
is coming towards the place in a train hears the second sound after 11 minutes. Find the speed of
train.
(a) 72 km/h
(b) 36 km/h
(c) 81 km/h
(d) 108 km/h
