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Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance. Correct Answer The data in either statement II or in Statement III alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

From statement I:

Let speed of bus be P km/h

Speed of car = 0.6P km/h

Distance covered by bus is 1 hour = P km

Relative speed of bus and car during 9 am to 3 pm

= 1.6p km/h.

So, data in statement I alone is not sufficient to answer the question.

From statement II:

Let initial speed of bus be P km/h

Speed of bus after 1 hour = 0.8P km/h

Total distance between Ahmadabad and surat = P + (10) × 0.8P = 9P

As original speed of car is 20% less than the original speed of bus

As distance covered by car from Ahmadabad to surat is 200km before crossing the bus and after an hour speed of bus and speed of car are equal

5 × 0.8P = 200

P = 50 km/h

Total distance = 9 × 50 = 450 km

So, data in statement II alone is sufficient to answer the question.

From statement III :

Let speed of car be P km/h

Speed of bus = P + 10 km/h

During the same time interval ratio of speeds is the ratio of distance.

So, ratio of speed of bus to the speed of car :

(P + 10)/ (P) = (5/4)

4P + 40 = 5P

P = 40 km/h

Speed of bus = 50 km/h

Let distance between Ahmadabad and Surat be D km

Time taken by car = (D/40)

Time taken by bus = (D/50)

(D/40) – (D/50) = (2(1/4)) = (9/4)

(D/200) = (9/4)

D = 450 km

So, data in statement III alone is sufficient to answer the question.

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