Time, Speed, and Distance








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Study Material







Quiz Begins Here

Q #1
:

Directions: Read the following information to answer the question.

X and Y start from the same point and run around a circular stadium, whose circumference is 4200 m, at the rate of 500 m and 700 m per minute respectively in the opposite directions. They will meet each other in:

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D = s × t                               

A.T.S. 500    × t + 700 × t = 4200           

 

∴  t = 3.5 minutes


Q #2
:

Directions: Read the following information to answer the question.

A man starting at a point walks one km east, then two km north, then one km east, then one km north, then one km east and then one km north to arrive at the destination. What is the shortest distance from the starting point to the destination ?

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We can see from the data, that the man walks in all 3 km to the East and 4 km to the North, thus forming a right angled triangle of sides 3 and 4. So the shortest distance is 5 km.

Q #3
:

Directions: Read the following information to answer the question.

The petrol consumption rate of a new car ‘Palto’ depends on its speed and may be described by the graph below:

Manisha makes the 200 km trip from Mumbai in Pune at a steady speed of 60 km per hour. What is the amount of petrol consumed for the journey?

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Time taken for the journey = 200/60 = 10/3 hrs.

Litres consumed = 10/3*4 = 40/3 =13.33

 


Q #4
:

Directions: Read the following information to answer the question.

The petrol consumption rate of a new car ‘Palto’ depends on its speed and may be described by the graph below:

Manisha would like to minimise the fuel consumption for the trip by driving at the appropriate speed. How should she change the speed?

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At 40 km/hr, she spends 200/40 = 5 hrs and thereby consumes       

5 × 2.4 = 12.0 litres.                       

At 80 km/hr she spends 200/80 = 2.5  litres and consumes


Q #5
:

Directions: Read the following information to answer the question.

Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

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Distance travelled = A : x, B : x – 12, C : x – 18.

When B goes x, C goes (x 18)/(x 12) × x = x – 8. Solve x for runner.