1. A motor states with the speed of 70 kmph with its speed increasing
every two hours by 10 kmph. In how many hours will it cover 345 kms?

(a) 2

(b) 4

(c) 4 hours 5 minutes

(d) Cannot be determined

(e) None of these

2. A train running at the speed of 20 meters/ second crosses a pole
in 24 seconds less than the time it requires to cross a plat form thrice
its length at the same speed. What is the length of the train?

(a) 270 meters

(b) 340 meters

(c) 180 meters

(d) cannot be determined

(e) None of these

3. A man takes 6 hours 35 minutes in walking to a certain place and
riding back. He would have taken 2 hours less by riding both ways. What
would be the time he would take to walk both ways?

(a) 4 house 35 minutes

(b) 8 hours 35 minutes

(c) 10 hours

(d) 8 hours 25 minutes

(e) None of these

4. A train travelling at the speed of 60 kmph crosses a platform in 20 seconds. What is the length of the train?

(a) 333 meters

(b) 300 meters

(c) 336 meters

(d) cannot be determined

(e) None of these

5. A boat running downstream covers a distance of 30 kms in 2 hours.
While coming back the boat takes 6 hours to cover the same distance. If
the speed of the current is half that of the boat, what is the speed of
that boat in kmph ?

(a) 15

(b) 5

(c) 10

(d) Cannot be determined

(e) None of these

6. Samir drove at the speed of 45 kmph. From home to a resort.
Returning over the same route, he got stuck in traffic and took an hour
longer, also he could drive only at the speed of 40 kmph. How many
kilometres did he drive each way?

(a) 250 kms

(b) 300 kms

(c) 310 kms

(d) 275 kms

(e) None of these

7. A 240 meters long train crosses a platform twice its length in 40 seconds. What is the speed of the train?

(a) 6 meters /sec

(b) 28 meters / sec

(c) 18
meters / sec

(d) 16 meters / sec

(e) None of these.

8. A boat running at the speed of 34 kmph downstream covers a
distance of 4.8 kms. In 8 minutes. The same boat while running up stream
same speed covers the same distance in 9 minutes. What is the speed of
the current?

(a) 2.4 kmph

(b) 3 kmph

(c) 2 kmph

(d) 3.2 kmph

(e) None of these

9. A bus started its journey from Ramgarh and reached devgarh in 44
minutes with its average speed of the bus is increased by 5 km / hour,
how much time will it take to cover the same distance?

(a) 40 minutes

(b) 38 minutes

(c) 36 minutes

(d) 31 minutes

(e) 49 minutes

10. A man walked at a speed of 4 km / hr from point A to B and came
back from point B to A at the speed of 6 km / hr. What would be the
ratio between the time taken by man in walking from point A to B to
point B to A respectively?

(a) 5 : 3

(b) 2 : 3

(c) 2 : 1

(d) 4 : 3

(e) 3 : 2

###
**Answers:**

**1**(b )

**2**(e )

**3**( b)

**4**( d)

**5**(c )

**6**(e )

**7**(c)

**8**(c )

**9**( a)

**10**(e )

###
**Explanation**

1. Initial Speed of motor = 70 kmph.

Distance covered in first 2 hours = 2 × 70 = 140 kms.

For next two hours speed of motor = 80 kmph.

Distance covered in next 2 hours = 2 × 80 = 160 kms.

Distance covered in first 4 hours = 140 + 160 = 300

Remaining distance = 345 -300 = 45 km

This distance will be covered at the speed of 90 kmph.

Time taken = 45/90 = ½ hour

Total time taken= 4 +

2. Let the length of train be x meters.

Time taken in crossing the bridge =

Time taken in crossing the bridge =

As given,

= 160 m

3. Time taken in walking one way + riding other way

= 6 hours 35 minutes …… (i)

Time taken in riding both ways = 4 hours 35 minutes ….. (ii)

By equation (i) × 2 – (ii),

2 × Time taken in walking one way = 13 hours 10 minutes – 4 hours 35 minutes

= 8 hours 35 minutes

4. When a train crosses a platform, the distance covered= length of platform and the train.

Speed =

Thus we have inadequate data.

5. Let the speed of boat in still water = x kmph

Speed of current =

When boat runs downstream ,

=

6. Let the required distance be x km.

According to the question,

X=360 km.

7. Length of the train = 240 meter

Length of the platform = 480 meter

We know that when a train crosses a platform, it covers a distance equal to the sum of its length and that of platform.

Speed of train = m / sec

m / sec

8. Let the speed of boat in still water be x kmph and that of current be y kmph.

And,

By equation (i) – (ii),

9. Distance between Ramgarh and Devgarh =

New speed = 55 kmph km/minute

Required time =

10. Required ratio = 6 : 4 = 3 : 2

[As time taken is inversely proportional to the speed.]

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