# Time and distance online test - Aptitude

Time and Distance Formulae and tips

It is important to know the relation between Time, Distance and Speed.

1. Speed is defined as the distance covered by an object in one unit of time.

Speed = $\text"Distance" / \text"Time"$

Distance = Speed x Time

Time = $\text"Distance" / \text"Speed"$

2. Below formulae for converting Km/h to m/s and m/s to km/h

⇒X km/h = ${X × 5 / 18}$ m/s

⇒X m/s = ${X × 18 / 5}$ km/h

3. If the two objects are moving with X and Y speeds respectively, then

Relative speed = X + Y (If the two objects are moving in opposite direction)

Relative speed = X – Y (If the two objects are moving in same direction)

4. If the ratio of speeds of X and Y is A : B, then the ratio of time taken to cover the same distance is B : A Online Test - 1 (Time and Distance) TAKE TEST Number of questions : 20  |  Time : 30 minutes Online Test - 2 (Time and Distance) TAKE TEST Number of questions : 20  |  Time : 30 minutes Online Test - 3 (Time and Distance) TAKE TEST Number of questions : 20  |  Time : 30 minutes Online Test - 4 (Time and Distance) TAKE TEST Number of questions : 20  |  Time : 30 minutes Online Test - 5 (Time and Distance) TAKE TEST Number of questions : 20  |  Time : 30 minutes Online Test - 6 (Time and Distance) TAKE TEST Number of questions : 20  |  Time : 30 minutes
• Simplification
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## Time and Distance Questions and Solution

Question-1)

A van covers a distance of 690 km in 30h. What is the average speed of the car?

A) 25 km/h
B) 23 km/h
C) 20 km/h
D) 18 km/h
E) None of these

Ans: B

Solution: Using the formulae, Speed = $\text"Distance" / \text"Time"$

⇒$690 / 30$ = 23 km/h

Question-2)

A certain distance is covered at a certain speed. If half of the distance is covered in double time, what is the ratio of the two speeds?

A) 4 : 1
B) 1 : 4
C) 1 : 2
D) 2 : 1

Ans: A

Solution: Let assume certain distance = X km, X km covered in Y hr.

Then speed = $X / Y$ km/h

If the distance is covered in double time = ${(X / 2) / 2Y} = X / {4Y}$ km/h

Then required ratio is $X / Y : X / {4Y}$ = 4 : 1

Question-3)

A bike runs at the speed of 50 km/h when not serviced and runs at 60 km/h when serviced. After servicing the bike covers a certain distance in 6 h. How much time will the car take to cover the same distance when not serviced?

A) 8.2h
B) 6.5h
C) 8h
D) 7.2h
E) None of these

Ans: D

Solution: From the given data, after servicing speed of the bike = 60 km/h

Distance covered in 6h. = (60 x 6) km = 360km

When it’s not service, the time taken to cover 360 km = $360 / 50$ = 7.2h