## Time and Distance

1. Express 90 km/hr in meters per second.

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;To&space;convert&space;km/hr&space;into&space;m/sec&space;multiply&space;with$  $\frac{5}{18}$

$90&space;\times&space;\frac{5}{18}&space;=&space;25&space;m/sec$			
2. Express 22 meters per second in km/hr.

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;To&space;convert&space;m/sec&space;into&space;km/hr&space;multiply&space;with$  $\frac{18}{5}$

$22&space;\times&space;\frac{18}{5}&space;=&space;\frac{396}{5}&space;=$ $\par&space;79.2&space;km/hr$			
3. A man travelled 12 minutes at the speed of 3.5 km/hr. Express his travelled distance in meters.

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;Time&space;=&space;12&space;minutes&space;=$ $\frac{12}{60}$ hours

$\par&space;Speed&space;=&space;3.5&space;km/hr$

$\par&space;Distance&space;=&space;speed$ $\times$  $\par&space;time$

$3.5&space;\times&space;\frac{12}{60}&space;=&space;\frac{7}{10}$ $\par&space;km$

$\par&space;Distance&space;in&space;meters&space;=$ $\frac{7}{10}&space;\times&space;1000&space;=&space;700$  $\par&space;meters$			
4. 180 meter long train crosses a man standing on the platform in 6 seconds. What is the speed of the train ?

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;Speed&space;=$ $\frac{Distance}{Time}$ $=&space;\frac{180}{6}&space;=&space;30$  meters

$30&space;\times&space;\frac{18}{5}&space;=&space;108$  km/hr			
5. How many minutes does Ashok take to cover a distance of 400 meters if he runs at a speed of 20 km/hr ?

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;Ashok's&space;speed&space;=&space;20&space;km/hr&space;=$ $(20\times&space;\frac{5}{18})$ $\par&space;m/sec$ $=&space;(\frac{50}{9})$$\par&space;m/sec$

$\par&space;Time&space;taken&space;to&space;cover&space;400&space;meters&space;=$ $(400\times&space;\frac{9}{50})$ $\par&space;sec$ $\par&space;=&space;72&space;sec$ $=&space;1\frac{1}{5}$$\par&space;minutes$			
6. A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist ?

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;Speed&space;=$  $\left&space;[&space;\frac{750}{150}&space;\right&space;]$  $\par&space;m/sec&space;=&space;5m/sec&space;=$  $\left[5\times&space;\frac{18}{5}\right]$ km/hr $\par&space;=&space;18&space;km/hr$
7. A car moves at the speed of 80 km/hr. What is the speed of the car in meters per second ?

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;Speed&space;=$ $\left[80\times&space;\frac{5}{18}\right]$ $\par&space;m/sec&space;=$  $\frac{200}{9}$  $\par&space;m/sec$  $=$  $22\frac{2}{9}$ $\par&space;m/sec$
8. An athlete runs 200 meters race in 24 seconds. His speed is

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;Speed&space;=$ $\frac{200}{4}$  $\par&space;m/sec$  $=&space;\frac{25}{3}$ m/sec $=$  $\left[\frac{25}{3}\times&space;\frac{18}{5}\right]$ $\par&space;km/hr&space;=&space;30&space;km/hr$
9. A person crosses a 600 meters long street in 5 minutes. What is his speed in Km per hour ?

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

Explanation:

			$\par&space;Speed&space;=$ $\left[\frac{600}{5&space;\times&space;60}\right]$  $\par&space;m/sec&space;=&space;2&space;m/sec&space;=$  $\left[2\times&space;\frac{18}{5}\right]$ $\par&space;km/hr&space;=&space;7.2&space;km/hr$
10. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in meters) is

A. 500 meters

B. 600 meters

C. 700 meters

D. 800 meters

			$\par&space;Speed&space;=$ $\left[5\times&space;\frac{5}{18}\right]$  $\par&space;m/sec&space;=$  $\frac{25}{18}$  $\par&space;m/sec$
$\par&space;Distance&space;covered&space;in&space;15&space;minutes&space;=$ $\left&space;[&space;\frac{25}{18}\times&space;15\times&space;60&space;\right&space;]$  $\par&space;m&space;=&space;1250&space;m.$