Question Detail

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 ?

8 minutes
10 mintues
12 minutes
14 minutes

Answer: Option B

Explanation:

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = (9/54) hour
= (1/6)*60 minutes
= 10 minutes

1. The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?

10 am
11 am
12 pm
1 pm

Answer: Option B

Explanation:

Suppose they meet x hrs after 8 a.m.
then
(Distance moved by first in x hrs) + [Distance moved by second in (x-1) hrs]
= 330
So, 60x+75(x-1) = 330

x=3.

So,they meet at (8+3). i.e 11a.m.

2. A person travels equal distances with speed of 3 km/hr, 4 km/hr and 5 km/hr and takes a total of 47 minutes. Find the total distane

3 km
4 km
6 km
9 km

Answer: Option A

Explanation:

Let the distance be 3x km,
then,

$\begin{aligned} \frac{x}{3} +\frac{x}{4} +\frac{x}{5} = \frac{47}{60} \\ \frac{47x}{60} =\frac{47}{60} \\ x = 1 \end{aligned}$
So total distance = 3*1 = 3 Km

3. An athlete runs 200 meters in 24 seconds. His speed is ?

10 km/hr
17 k/hr
27 km/hr
30 km/hr

Answer: Option D

Explanation:

$\begin{aligned} Speed = \frac{Distance}{Time} \\ = \frac{200}{24}m/sec = \frac{25}{3} m/sec \\ \frac{25}{3}*\frac{18}{5} km/hr = 30 km/hr \end{aligned}$

4. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

200 Km
222 Km
224 Km
248 Km

Answer: Option C

Explanation:

Let time taken to travel the first half = x hr
Then time taken to travel the second half = (10 - x) hr

Distance covered in the the first half = 21x [because, distance = time*speed]
Distance covered in the the second half = 24(10 - x)

Distance covered in the the first half = Distance covered in the the second half
So,
21x = 24(10 - x)
=> 45x = 240
=> x = 16/3

Total Distance = 2*21(16/3) = 224 Km [multiplied by 2 as 21x was distance of half way]

5. A cyclist covers a distance of 750 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist

16 km/hr
17 km/hr
18 km/hr
19 km/hr

Answer: Option C

Explanation:

$\begin{aligned} Speed = \frac{Distance}{Time} \\ Distance = 750 meter \\ Time = \text{2 min 30 sec} = 150 sec \\ Speed = \frac{750}{150} = 5 m/sec \\ => 5*\frac{18}{5} km/hr = 18 km/hr \end{aligned}$

Hope 9 years ago

hi hold per kyuuuu
Hope 9 years ago

sir

mastguru 9 years ago replied

Hi !
veeru 11 years ago

superb
hemanth 11 years ago

Please elaborate the answer

mastguru 11 years ago replied

Hello Hemanth,
As given, normal speed of bus is 54 Km/Hour.
When bus stop on stoppages then average speed become 45 km/hr.
Difference is 54-45 = 9 km/hr
So when bus stops on stoppages then it travel 9 km less in an hour. right ?
Now we need to calculate time taken by bus to travel 9 km.
Time = Distance/Speed
= 9/54 = 1/6 hour or (1/6) * 60 minutes
= 10 minutes.
Please let me know if any confusion.