6. A train travels at an average of 50 miles per hour for 2 1/2hours and then travels at a speed of 70 miles per hour for 1 1/2 hours. How far did the train travel in the entire 4 hours?

A. 120 miles B. 150 miles C. 200 miles D. 230 miles

Answer Answer: Option D Explanation: Total distance traveled = {(50*2 1/2)+(70*1 1/2)} miles =(125+105) miles = 230 miles.

7. A farmer traveled a distance of 61km in9 hrs. He traveled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr.The distance traveled on foot is:

A. 14 km B. 15 km C. 16 km D. 17 km

Answer Answer: Option C Explanation: Let the distance traveled on foot be x km
then distance traveled on bicycle =(61-x)km
so x/4 + (61-x)/9-9 =9x+ 4(61-x)
= 9*36 = 5x =80 = x=16km

8. A car traveling with 5/7 of its actual speed covers 42 km in 1 hour 40 minutes 48 sec.Find the actual speed of the car.

A. 17 6/7 km/hr B. 25 km/hr C. 30 km/hr D. 35 km/hr

Answer Answer: Option D Explanation: Time taken = 1hr 40 minutes 48 seconds = 1hr 44/5 minutes = 1 51/75 hrs = 126/75 hrs
Let the actual speed be x km/hr
Then 5/7x * 126/75 = 42 or x = (42*7*75/5*126) = 35 km/hr

9. A car travels the first one-third of a certain distance with a speed of 10 km/hr, the next 1/3rd distance with a speed of 20 km/hr, and the last 1/3rd distance with a speed 60 km/hr. the average speed of the car for the whole journey is?

A. 18 km/hr B. 24 km/hr C. 30 km/hr D. 36 km/hr

Answer Answer: Option A Explanation: Le the whole distance traveled be x km/hr and the average speed of the car for the whole journey be y km/hr.
Then,( x /3) / 10 + (x/3) / 20 + (x/3) / 60 = x/y = x/30+ x/60+x/180 = x/y
= 1/18 y = 1 = y = 18 km/hr

10. A is twice as fast as B and B is thrice as fast as C is. the journey covered by C in 54 minutes will be covered by B in?

A. 18 min B. 27 min C. 38 min D. 9 min

Answer Answer: Option A Explanation: Let C's speed = x km/hr. then, B's speed = 3x km/hr and A 's speed = 6x km/hr.
Hence, ratio of speed of A,B,C = 6x : 3x : x = 6 : 3: 1.
Ratio of times taken = 1/6 : 1/3 : 1= 1 : 2 : 6.
If C takes 6 min., then B takes 2 min.
If C takes 54 min., then B takes (2/6*54) min. = 18 min.