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Q #21
:

Directions: Read the following information to answer the question.

A man can walk up a moving ‘up’ escalator in1/2 minutes. He can walk down this moving ‘up’ escalator in 1.5 minutes. His walking pace is the same up stairs as it is down stairs.

How long would it take him to go up the moving escalator if he stands still?

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In 1.5 minutes the man can walk down 1 moving escalator or up 3. In 3

minutes walking, half the time up and half the time down, he can walk 4

escalator lengths. This is his walking pace – 4 escalator lengths in 3 minutes

– for the effect of the moving escalator is canceled. He can therefore climb

(or descend) the still escalator in 1/4 of 3 minutes, or 45 seconds. In the 1.5

minutes required to walk down the moving “up” escalator he walks the

equivalent of 2 still escalators. Therefore the escalator must have moved

up once in that lime and its speed is 1 length In 1.5 minutes.

Aliter : If x = number of steps, e = speed of escalator and m = speed of man,

we get e + m = x/30; –e + m = x/90. On adding these equations, we get

m = x/45 and e comes to x/90. We can now solve for required values.


Q #22
:

Directions: Read the following information to answer the question.

Pankaj and Seema decided to meet at the Corn Club near Nal Stop at 6.00pm. Pankaj stays at Shivaji Nagar and Seema stays at Kothrud. Pankaj and Seema left their houses at the same time. Pankaj decided to go via FC Road. He covers 1st 2 Km at 30 km/hr and when he reaches FC his speed is reduced to 10 km/hr and with this reduced speed he covers the next 3 km. He then takes right turn and covers the 2 km distance at 30 km/hr. Nal Stop's Corn Club is 8 km from Seema's place.

If Seema and Pankaj reached the Corn Club at the same time then at what speed did Seema cover the entire distance?

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Pankaj covers 2 km in 4 min

He covers next 3 km in 18 min

He covers the next 2 km in 4 min

So total time taken = 26 min

Seema's speed = 8/(26/60) = 18.5 km/hr.


Q #23
:

Directions: Read the following information to answer the question.

Pankaj and Seema decided to meet at the Corn Club near Nal Stop at 6.00pm. Pankaj stays at Shivaji Nagar and Seema stays at Kothrud. Pankaj and Seema left their houses at the same time. Pankaj decided to go via FC Road. He covers 1st 2 Km at 30 km/hr and when he reaches FC his speed is reduced to 10 km/hr and with this reduced speed he covers the next 3 km. He then takes right turn and covers the 2 km distance at 30 km/hr. Nal Stop's Corn Club is 8 km from Seema's place.

If Seema's Kinetic Honda did not start and so Pankaj takes Seema to her place at 32 km/hr and then he returns home by the same path at 45 km/hr then what is his average speed for whole journey?

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Total time taken = 26 min + 8/(32/60) + 15/(45/60) = 61 min

He has covered 30 km.

Speed = 30/61 = 29.5 km/hr.


Q #24
:

Directions: Read the following information to answer the question.

Sunil is running laps of 400 meter in a park. He runs the first lap with a constant speed in exactly 1 minute and 40 seconds. Every following lap he increases he speed by 10% of previous speed without exceeding his personal limit of 1 minute and 20 seconds for one lap. How many laps at most will he complete?

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The maximum speed he can attain is 400/80 = 5m/s. The speed for first lap

is 400/100 = 4m/s. 5 > 4(1.1 )n–1 where n denotes the no. of laps. Maximum

value of n = 3.


Q #25
:

Directions: Read the following information to answer the question.

Rampur is 100 km from Sitapur. At 3 pm Bharat Express leaves Rampur for Sitapur and travels at a constant speed of 30 km/ h. One hour later, Laxman Mail leaves Sitapur for Rampur and travels at a constant speed of 40 kmph’. Each train makes one stop only at a station 10 km from its starting point and remains there for 15 min.

Which train is nearer to Rampur when they meet?

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When the two trains meet, distance between the trains will be zero. Therefore distance from the both trains of any place on the way will same. Therefore, when trains meet both are equidistant to Rampur.