- ‘x’ meters long train cross a 360 meters long bridge in 20 sec running at the speed of 108 km/hr. If train cross a man running in opposite direction in 6 sec, then what is the speed of man (in km/hr) ?
54 km/hr58 km/hr36 km/hr45 km/hr72 km/hrOption C

speed of train = 108 * 5/18 = 30m/sec

x + 360/30 = 20

x = 240

Let the speed of man = y m/sec

240/30 + y = 6

180 + 6y = 240

y = 10

speed of man = 10 * 18/5 = 36 km/hr - A start driving from Delhi to Bangalore with speed of 20 km/hr and B start driving from Bangalore to Delhi with speed of 28km/hr. If they start at 9 am and distance between Delhi to Bangalore is 240 km, then in how much time they meet each other ?
4 pm4 : 20 pm12 : 40 pm3 pm2 pmOption E

Total Distance = 240 km

relative speed of A and B = 20 + 28 = 48 km/hr

Time = 240/48 = 5 hour.

They start at 9 am they will meet each other at 2 pm. - A man walking at two-fifth of his usual speed, reaches his destination 6 hour late. What is usual time to reach his destination ?
5 hours2 hours4 hours6 hours8 hoursOption C

let original speed of man = 5x

now his speed = 2x

ratio of his speed = 5x : 2x

his time ratio to reach destination = 2y : 5y

5x – 2x = 6 hours

x = 2 hours

His usual time = 2 * 2 = 4 hours. - Two man travel by their bikes from Gujrat to Kolkata at a speed of 40 km/hr and 48 km/hr respectively. If one of them takes 5 hours lesser time than the other to reach Kolkata then what is the distance between city Gujrat and Kolkata.
1200 km2300 km4200 km1440 km2000 kmOption A

Let Distance between Gujrat to Kolkata = D km

D/40 – D/48 = 5

48D – 40 D/40 * 48 = 5

8D/40 * 48 = 5

D = 1200 - The ratio speed of Car and Bike is 4 : 3. Total Distance between point A and point B is 120 km. If Car and Bike start travelling from point A and bike takes 2 hours more time than car, then what is the speed of Car ?
28 km/hr24 km/hr20 km/hr24 km/hr32 km/hrOption C

Let of Car and Bike = 4x and 3x

Distance = 120 km

120/3x – 120/4x = 2

x = 5

speed of Car = 4x = 4 * 5 = 20 km/hr - Rahul goes to his school at rate of 24 km/hr and reaches 8 minutes late. In the next day he goes with 20 km/hr and reached 14 minutes late then, what is distance between his home to school ?
10 km18 km14 km16 km12 kmOption E

Let Actual time to each school = x mixture

In 1at case, speed = 24 km/hr

Time = (x + 8) minutes

Distance = 24(x + 8/60)

In 2nd case, speed = 20 km/hr

Time = (x + 14) minute

Distance = 20 (x+14/60)

24x + 192 = 20x + 280

4x = 88

x = 22 minutes

Distance = 24 (22+8/60) = 12 km - Sriman covered one third of his journey at a speed of 20 km/hr, one-fourth of the remaining at the speed of 25 km/hr and the remaining journey at a speed of 15 km/hr. what is his Average speed ?
20km/hr300/17 km/hr200/17 km/hr15km/hr25km/hrOption B

LCM of 20, 25, and 15 = 300

total distance = 300km

1/3rd of 300 at a speed of 20km/hr

Time = 100/20 = 5 hours

1/4th of remaining at a speed of 25 km/hr

time = 1/4(300 – 100)/25 = 2 hours

remaining 150km at a speed of 15 km/hr

time = 150/15 = 10 hour

Average speed = 300/5 + 2 + 10 = 300/17 km/hr - If A train crosses 450 meters long platform in 30sec and crosses a pole in 7.5 seconds, then find the length of train ?
200 meters150 meters220 meters320 meters340 metersOption B

Let length of train = x meters

x + 450/30 = x/7.5

x = 150 meters - A and B run 6km/hr and 12 km/hr on a circular track 12 km long, when will they met each other for the first time, if they are running in opposite direction ?
42 minutes32 minutes1 hour2 hour40 minutesOption E

Total Distance = 12 km/hr

relative speed = 12 + 6 = 18 km/hr

time = 12/18 = 2/3 = 2/3*60 = 40 minutes. - A thief steal a bike at 8 pm and drive at a speed of 40 km/hr. Police came to know about theft at 11 pm and start chasing him with the speed of 55 km/hr. After how much kilometers police will catch the thief ?
440 km320 km450 km520 km620 kmOption A

speed of thief = 40 km/hr

he travelled 8 pm to 11pm = 3 hours

distance covered by thief in 3 ours = 3 * 40 = 120 km

speed of police = 55 km/hr

relative speed = 55 – 40 = 15 km/hr

time taken by police to catch the thief = 120/15 = 8 hours

distance = 55 * 8 = 440 km