A man goes to his office at a speed of 30 km/hr and return to home at a speed of 45 km/hr. If he takes total 10 hours in all then, what is the distance between his office to home ?
120 km
180 km
340 km
220 km
200 km
Option B Let distance = D km D/30 – D/45 = 10 D = 180 km
The speed of car and bus in the ratio of 4 : 5. Car takes 1 hour more than bus to cover a distance of 240 km, then find speed of bus ?
40 km/hr
30 km/hr
60 km/hr
84 km/hr
72km/hr
Option C Let speed of car and bus = 4x and 5x respectively 240/4x – 240 /5x = 1 x = 12 km /hr speed of bus = 5 * 12 = 60 km/hr
A train length of 225 meters can cross a pole in 9 sec. How much time taken by train if cross a platform whose length is 255 meters ?
22 sec
19 1/5 sec
12 1/2 sec
18 sec
20 sec
Option B Speed of train = 225/9 = 25 m/sec time = 225 + 255 / 25 = 19 1/5 sec
Ram goes to office from house at speed of 30 km/hr and reach 2 minutes before his usual time, if he goes at speed of 20 km/hr , then he reaches 3 minutes late. What is distance between office to house ?
6 km
5 km
12 km
14 km
8 km
Option B Let distance = D (D/20 – D/30) = 5/60 hours D = 5 km
Train A starts from M with the speed f 80 km/hr at 10 am and B starts with the speed of 100 km/hr at 12 pm from N and total distance between M and N is 700 km, find at what time they will cross each other ?
4:00 pm
3:00 pm
2:00 pm
5:00 pm
3:30 pm
Option B Speed of train A = 80 km/hr distance travel by train A from 10 am to 12 pm = 2 * 80 = 160 km remaining distance = 700 – 160 = 540 km time = 540/ (80 + 100) = 3 hours time = 12 pm + 3 hours = 3:00 pm
180m length of train crosses a platform at speed of 90 km/hr in 12 sec. Another train ar speed of 144 km/hr crosses same platform in 8 seconds. What is length of the other train ?
200 m
400 m
600 m
500 m
300 m
Option A Speed of train = 90 * 5 / 18 = 25 m/sec let length of platform = x x + 180/25 = 12 x = 300 – 180 = 120 m let length another train = y speed of other train = 144 * 5/18 = 40 m/sec y + 120/40 = 8 y = 320 – 120 = 200m
two trains of length of 145 m and 215 m are running in same direction with speed of 162 km /hr and 108 km/hr respectively. How much time will they take to cross each other ?
18 seconds
12 seconds
15 seconds
25 seconds
24 seconds
Option E Speed of 145 m long train = 162 * 5/18 = 45 m/sec speed of 215 m long train = 108 * 5/18 = 3 m/sec time = 145 + 215/45 – 30= 360/15 = 24 sec
The sum of the length of train A and B is 700 meters and the speed of train A is 54 km/hr. If they are running in opposite direction, then they can cross each other in 20 seconds. Find the speed of train B ?
48 km/hr
75 km/hr
108 k/hr
54 km/hr
72 km/hr
Option E Speed of train A = 54 * 5/18 = 15 m/sec total length = 700m let speed of train B = x m/sec 700/(15 + x) = 20 x = 20 m/sec speed of train B = 20 * 18/5 = 72 km /hr
Two stations P and Q are at a distance of 225 km. Train A starts running from station P and train B starts running from station Q respectively and meet each other after 3 hours. If the speed of train A is 5 km/hr more than the speed of train B, then find speed of train A ?
42 km/hr
40 km/hr
28 km/hr
32 km/hr
50 km/hr
Option B Let speed of train B = x km/hr speed of train A = (x + 5) km/hr total distance = 225 km 225/(x + 5 + x) = 3 225 = 6x + 15 x = 35 speed of train A = 35 + 5 = 40 km/hr
Sushant covers a distance by walking for 6 hours. While returning his speed decreased by 2 km/hr and he takes 9 hours to cover the same distance. What was his speed while returning ?
4 km/hr
5 km/hr
8 km/hr
6 km/hr
14 km/hr
Option A Let original speed of Sushant = x km/hr while returning his speed = (x – 2) km /hr x * 6 = 9 ( x – 2 ) 6x = 9x – 18 x = 6 his speed while returning = 6 – 2 = 4 km/hr
