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Multiple Choice Questions

A man started his journey at 8 00 AM by covering 186 km by bus at a speed of 45 km hr After that he ...........

Quantitative Aptitude (SBI-PO) Time & distance

A man started his journey at 8:00 AM by covering 186 km by bus at a speed of 45 km/hr. After that, he travelled 256 km by train at a speed of 96 km/hr. and covered his remaining journey by taxi at a speed of 40 km/hr. Hence, he completed his journey of ___ km at ___ PM.

Which of the following options satisfies the two blanks in the question?

A. 490, 4:00

B. 500, 4:15

C. 530, 5:00

D. 554, 5:15

This questions was previously asked in

SBI PO Mains (20 Jul, 2019)

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A, B & C

A, B & D

A, C & D

B, C & D

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Explanation:

Correct Option is 1 : A, B and C.

Time taken by bus = distance/speed=186/45

= 62/15 hrs. = 4 hrs 8 mins.

Time taken by train = 256/96 8/3 hrs. = 2 hrs. 40 min. Let total distance travelled be 490 km (option A),
→ Distance travelled by taxi = 490-186-256 = 48 km
⇒ Time taken by taxi = 48/40 = 1.2 hrs. = 1 hr. 12 min.
⇒ Total time taken in journey = 8 hrs.
⇒ Time of completing journey = 4:00 PM
Let total distance travelled be 500 km (option B),
⇒ Distance travelled by taxi = 500-186-256 = 58 km ⇒ Time taken by taxi = 58/40 = 1.45 hrs. = 1 hr. 27 min. Total time taken in journey 8 hrs. 15 min.
? Time of completing journey = 4:15 PM
Let total distance travelled be 530 km (option C),
→ Distance travelled by taxi = 530-186-256 = 88 km
⇒ Time taken by taxi = 88/40 = 2.2 hrs. = 2 hr. 12 min.
⇒ Total time taken in journey = 9 hrs.
⇒ Time of completing journey = 5:00 PM
Let total distance travelled be 554 km (option D),
→ Distance travelled by taxi = 554-186-256 = 112 km
⇒ Time taken by taxi = 112/40 = 2.8 hrs. = 1 hr. 48 min.
⇒ Total time taken in journey = 9 hrs. 36 min.
⇒ Time of completing journey = 5:36 PM
.. Options A, B & C satisfies the two blanks in the question