Arithmetic aptitude :: Time and Distance :: General Questions

• Time and Distance - General Questions
• Time and Distance - Data Sufficiency 1
• Time and Distance - Important Formulas and Facts

1. Speed $=\left(\frac{Distance}{Time}\right)$, Time $=\left(\frac{Distance}{Speed}\right)$, Distiance $=(Speed\times Time)$

2. $x$ km/hr $=\left(x\times\frac{5}{18}\right)$ m/sec

3. $x$ m/sec $=\left(x\times\frac{18}{5}\right)$

4. If speed ratios of X and Y is $x:y$, then the time ratio by them to cover same distance $=\frac{1}{x}:\frac{1}{y}$ or $y:x$

5. Suppose an object covers a certain distance at $x$ km/hr and an equal distance at $y$ km/hr. Then, the average speed of during the

whole travel is $\left(\frac{2xy}{x+y}\right)$ km/hr.

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is :

Answer:

Explanation:

Let Abhay's speed be $x$ km/hr.

Then, $\frac{30}{x}-\frac{30}{2x}=3$ $\Leftrightarrow 6x=30$ $\Leftrightarrow x=5$ km/hr

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour ? 

Answer:

Explanation:

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km $=\left(\frac{9}{54}\times 60\right)$ min = 10 min

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is :

Answer:

Explanation:

Let the distance travelled on foot be $x$ km. Then, distance travelled on bicycle $=(61-x)$ km.

So, $\left(\frac{x}{4}+\frac{61-x}{9}=9\right)$ $\Leftrightarrow 9x+4(61-x)$ $=9\times 36$

$\Leftrightarrow 5x = 80$ $\Leftrightarrow x = 16$ km.

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in $1\frac{2}{3}$ hours, it must travel at a speed of :

Answer:

Explanation:

Distance $=(240\times 5)$ km = 1200 km.

Reauired Speed $=\left(1200\times\frac{3}{5}\right)$ km/hr = 720 km/hr.

The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours ?

Answer:

Explanation:

Total distance travelled in 12 hours = (35 + 37 + 39 + .....upto 12 terms).

This is an A.P. with first term, $a = 35$, number of terms, $n = 12$, common difference, $d = 2$.

Required distance $=\frac{12}{5}\left[2\times 35+(12-1)\times 2\right]$ $=6(70 + 22)$ = 552 km.

• Time and Distance - General Questions
• Time and Distance - Data Sufficiency 1