32. Anna left for city A from city B at 5.20 a.m. she traveled at the speed of 80 km/hr for 2 hours 15 minutes.After that speed was reduced to 60 km/hr.If the distance between two cities is 350 kms,at what time did Anna reach city A?

A. 9.20.a.m B. 9.25 a.m C. 9.35 a.m D. 10.25 a.m

Answer Answer: Option D Explanation: Distance covered in 2 hours 15 minutes i.e.2 1/4 hrs = (80*9/4) hrs = 180 hrs
Time taken to cover remaining distance = (350-180/60) hrs = 17/6 hrs = 2 5/6 hrs = 2hrs 50 minutes
Total time taken = 2 hrs 15 minutes + 2 hrs 50 minutes) = 5hrs 5 minutes
So Anna reached city A at 10.25 a.m

34. The speed of a car increases by 2 km after everyone hour. If the distance traveled in the first one hour was 35 km, what was the total distance traveled in the first one hour was 35 km, what was the total distance traveled in 12 hours?

A. 456 km B. 482 km C. 552 km D. None of these

Answer Answer: Option C Explanation: Total distance traveled in 12 hours = (35+37+39+..... up to 12 terms).
This is an A.P. with first term, a = 35, number of terms, n=12, common difference, d=2.
Therefore required distance = 12/2 (2*35+(12-1)*2) = 6(70+22) =552 km.

35. A motor car starts with the speed of 70 km/hr with its speed increasing every two hours by 10 kilo meter per hour. In many hours will it cover 345 kilometers?

A. 2 1/4 hrs B. 4 hrs 5 min C. 4 1/2 hrs D. None of these

Answer Answer: Option C Explanation: Distance covered in first 2 hours = (70*2) km = 140 km.
Distance covered in next 2 hours = (80*2) km = 160 km.
Remaining distance = 345 - (140+160) = 45 km.
Speed in the fifth hour = 90 km/hr.
Time taken to cover 45 km = (45/90) hr = 1/2hr.
Therefore total time taken = (2+2+1/2) = 4 1/2 hrs.