Question

Directions: Below question is followed by two statements labelled I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:

I) A train travel at 20 km/hr for first two hours. Then it travels at 40 km/hr for the next 9/5 hours. Then he completed 8/11 part of its journey.

II) Train completed the remaining journey in next 6/5 hours.

Find average speed of entire journey.

1.

Statement I alone is sufficient to answer the question.

2.

Statement II alone is sufficient to answer the question.

3.

Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.

4.

Either Statement I or Statement I alone is sufficient to answer the question.

5. Neither Statement I nor Statement II is sufficient to answer the question.

Answer 1

Correct Answer - Option 3 :

Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.

Formula used:

Speed = Distance/Time

Average speed = (Total Distance)/(Total time taken)

Statement (I):

Distance covered in first two hours = 20 × 2 = 40 km

Distance covered in next (9/5) hours = 40 × (9/5) = 72 km

So, 8/11 part of its journey = 72 km 

Total Distance = 72 × (11/8) = 99 km

∴ The statement I alone is not sufficient to answer the question

Statement (II):

Remaining time = (6/5) hours

Total time and total distance we get. 

∴ Statement II alone is not sufficient. 

∴ Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.