Question

Direction(1-4): Read the following information carefully and answer the following questions that follow:

Mr. Sharma, a truck driver drives his truck every day. He travels a different distance by his truck on each day.

The pie chart given below shows the percentage of distance travelled on a particular day (one out of Monday to Friday) out of the total distance that he travelled in the five days (Monday-Friday) of a particular week.

Days Speed ( in km/ hr0 Monday Tuesday Wednesday Thursday Friday

------
52
------
68
------

Total distance travelled by the truck = 2000 Km

The table given below shows the average speed (in km/hr) of Mr. Sharma's truck on the five weekdays. Some of the data is missing.

If the average speed of the truck on Wednesday is $\frac{3}{4^{ths}}$
ths of the average speed of the truck on Thursday, find the ratio of time for which the truck travels on Tuesday and Wednesday.

• A. 2 : 1
• B. 1 : 1
• C. 5 : 3
• D. 10 : 7

Answer 1

The correct option is A 2 : 1

Distance travelled on Monday = 22% of 2000 = 440 km

Similarly,

Day Distance Travelled (in km) Monday Tuesday Wednesday Thursday Friday

440
520
255
340
445

Time for which Mr. Sharma travelled on Tuesday = $\frac{520}{52}=10hrs$

Time for which Mr. Sharma travelled on Thursday = $\frac{340}{68}=5hrs$

Average speed of the truck on Wednesday = $68\times \frac{3}{4}=51km/hr$

Time for which the truck travels on Wednesday = $\frac{255}{51}=5hrs$

Required ratio = 10 : 5 = 2 : 1