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An ant climbing up a vertical pole ascends $12 meters$ and slips down $5 meters$ in every alternate hour. If the pole is $63 meters$ high how long will it take it to reach the top?

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Important Questions on Time, Speed and Distance

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 20

The Sabarmati Express left Ahmedabad for Mumbai. Having travelled 300 km, which constitutes 66.666 per cent of the distance between Ahmedabad and Mumbai, the train was stopped by a red signal. Half an hour later, the track was cleared and the engine- driver, having increased the speed by 15 km per hour, arrived at Mumbai on time. Find the initial speed of the Sabarmati Express.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 22

A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclists started simultaneously from A and B travelling towards each other, they would have met in $80 minutes$ . How much time did it take the faster motorcyclist to travel from A to B?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 24

The difference between the times taken by two buses to travel a distance of

350 km

2 hours 20 minutes

. If the difference between their speeds is

5 kmph

, find the slower speed.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 25

One bad day, at

7 a . m .

I started on my bike at the speed of

36 kmph

to meet one of my relatives. After I had travelled some distance, my bike went out of order and I had to stop. After resting for

35 minutes

, I returned home on foot at a speed of

14 kmph

and reached home at

1 p . m .

Find the distance from my house at which my bike broke down.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 27

Three brothers, Ram, Shyam and Mohan, travelled by road. They all left the college at the same time-12 noon. The description of the motions of the three are detailed below:

Name	Ram	Shyam	Mohan
Phase $1$	Bus for $2 hours @ 10 mph$	Bike for $1 hour @ 30 mph$	oot for $3 hours @ 3.33 mph$
Phase $2$	bike for $1.5 h @ 40 mph$	foot for $3 h @ 3.33 mph$	bus for $3 h @ 10 mph$
Phase $3$	foot for $3 h @ 3.33 mph$	bus for $4 h @ 10 mph$	bike for $2 h @ 30 mph$

At what distance from the start does Mohan overtake Shyam?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 28

Three brothers, Ram, Shyam and Mohan, travelled by road. They all left the college at the same time-12 noon. The description of the motions of the three are detailed below:

Name	Ram	Shyam	Mohan
Phase $1$	Bus for $2 hours @ 10 mph$	Bike for $1 hour @ 30 mph$	oot for $3 hours @ 3.33 mph$
Phase $2$	bike for $1.5 h @ 40 mph$	foot for $3 h @ 3.33 mph$	bus for $3 h @ 10 mph$
Phase $3$	foot for $3 h @ 3.33 mph$	bus for $4 h @ 10 mph$	bike for $2 h @ 30 mph$

If Ram travelled by bike instead of foot in the last of his journey (for the same distance as he had covered by foot), what is the difference in the times Of Ram and Mohan to cover

90 miles

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 29

Three brothers, Ram, Shyam and Mohan, travelled by road. They all left the college at the same time-12 noon. The description of the motions of the three are detailed below:

Name	Ram	Shyam	Mohan
Phase $1$	Bus for $2 hours @ 10 mph$	Bike for $1 hour @ 30 mph$	oot for $3 hours @ 3.33 mph$
Phase $2$	bike for $1.5 h @ 40 mph$	foot for $3 h @ 3.33 mph$	bus for $3 h @ 10 mph$
Phase $3$	foot for $3 h @ 3.33 mph$	bus for $4 h @ 10 mph$	bike for $2 h @ 30 mph$

If all of them travelled a distance of

100 miles

, who reached first and at what time (assume the last leg time increases to cover

100 miles

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 30

Three brothers, Ram, Shyam and Mohan, travelled by road. They all left the college at the same time-12 noon. The description of the motions of the three are detailed below:

Name	Ram	Shyam	Mohan
Phase $1$	Bus for $2 hours @ 10 mph$	Bike for $1 hour @ 30 mph$	oot for $3 hours @ 3.33 mph$
Phase $2$	bike for $1.5 h @ 40 mph$	foot for $3 h @ 3.33 mph$	bus for $3 h @ 10 mph$
Phase $3$	foot for $3 h @ 3.33 mph$	bus for $4 h @ 10 mph$	bike for $2 h @ 30 mph$

In the above question, who reached last and at what time?

An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?

Important Questions on Time, Speed and Distance

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An ant climbing up a vertical pole ascends $12 meters$ and slips down $5 meters$ in every alternate hour. If the pole is $63 meters$ high how long will it take it to reach the top?