# Quantitative Aptitude: Time, Speed and Distance Set 18

1. In eleven hours A walks 12.5 km less than what B does in twelve hours and in five hours B walks 3.25 km less than what A does in seven hours. How many km does each walk per hour?
3.25km/hr , 4. 5km/hr
3 km/hr , 4km/hr
3.5km /hr, 4.25km/hr
2.25km/hr , 3. 5km/hr
None
Option C
Solution:
Let speed of A be x km/hr and B be y km/hr.
Then 12y-11x=12.5
7x-5y=3.25
Solving both we get x=3.5km /hr , y=4.25km/hr.
2. 35km
40km
30km
45km
None
Option B
Solution:
Let the distance be d km.
u=7km/hr
v=3km/hr
d/(7-3) =6 + d/(7+3)
d/4-d/10=6
d=40km.
3. Car A runs at the speed of 45 km/hr and reaches its destination in 5hr. Car B runs at the speed of 55 km/hr and reaches its destination in 3hr. What is the respective ratio of distances covered by Car A and Car B?
17:12
9:4
15:11
11:9
None
Option C
Solution:
Distance travelled by Car A = 45 * 5
Distance travelled by Car B = 55 * 3
Ratio 45*5 : 55*3
15:11.
4. If a student walks from his house to school at 6 km/h, he is late by 30 min. However, if he walks at 8 km/h, he is late by 5 min only. The distance of his school from his house is
20km
8km
15km
10km
None
Option D
Solution:
Let the distance be x.
x/6 – x/8 =(30-5)/60
(8x-6x)/48 =25/60
2x=20
x=10km.
5. Two trains are running at 60 km/h and 30 km/h respectively in the same direction. Fast train completely passes a man sitting in the slower train in 9 seconds. What is the length of the fast train?
90m
100m
75m
60m
None
Option C
Solution:
Speed =60-30=30km/hr
Length of faster train= 30*5/18*9
= 75m.
6. The average speed of a car is 1 (2/5) times the average speed of a bus. A tractor covers 625 km in 25 hours. How much distance will the car cover in 4 hours if the speed of the bus is twice speed of the tractor?
320km
280km
250km
300km
None
Option B
Solution:
Speed of a tractor=625/25 = 25 km / hr
The speed of a bus in an hour = 25 × 2 = 50 km
The speed of a car in an hour = 7/5 * 50 = 70 km
So, the distance covered by car in 4 h is
70 × 4 = 280 km.
7. Two persons living in different towns 60 km apart, they started at 2 pm to see each other at the rate of 4.5 and 5.5 km/hr respectively. When will they meet?
5pm
8pm
6pm
7pm
None
Option B
Solution:
Speed=4.5+5.5=10km/hr
Meeting time=60/10=6hours.
So they meet at 8pm.
8. Two train A and B start from two different stations and proceed towards each other. If the speed of A is 30km/hr and B is 80km/hr. They meet after 12hrs. What is the distance between these two stations.
1320km
1450km
1300km
1280km
None
Option A
Solution:
Speed= 80+30=110km/hr
Distance =speed *time
=110*12=1320km.
9. A, B, C are running clock wise around a circular track and their time periods to run a circle are 3min, 5min and 6min respectively. Find the time interval after which they meet for the first time at the starting point.
15mins
20mins
25mins
30mins
None
Option D
Solution:
LCM of 3, 5, 6 =30
Then after every 30mins they will meet at starting point.
10. Two cyclist start from the same place in opposite direction. The first cyclist goes towards north at 18km/hr and second goes towards south at 20km/hr. What time will they take to be 47.5?
1 1/4hrs
2hrs
2 1/2hrs
3hrs
None
Option A
Solution:
Speed=18+20=38km/hr.
Distance=47.5
Time=47.5/38
=1 1/4hrs.