mr jha travel 760 km to his home,partly by train and partly by car.he takes 8 hrs if he travel160 km by train and the rest by car. he takes12 minutesmore,if he travels 240 km by train by car.find the speed of the train and car seprately
Answers
Answer:
Speed of Car = 100 km/hr
Speed of train = 80 km/hr
Step-by-step explanation:
Let the speed of train = x km/hr and speed of car= y km/hr
Case 1
Distance travelled by train = 160 Km
Distance travelled by car = 760-160 = 600
kmTime taken by train = 160/x hr
Time taken by car = 600/y hr
Total time taken = 160/x+600/y hr160/x+600/y = 8 --------------- Equation 1
Case 2
Distance travelled by train = 240 Km
Distance travelled by car = 760-240 = 520 km
Time taken by train = 240/x hr
Time taken by car = 520/y hr
Total time taken = 240/x+520/y hr 240/x+520/y = 8+12/60 (12 minutes=12/60 hr)
240/x+520/y = 41/5 --------------- Equation 2
Multiply equation 1 by 3 and equation 2 by 2 and subtract equation 2 from equation 1
1800/y-1040/y = 24-82/5
760/y = 38/5
y = (760X5)/38
= 100
Putting y = 100 in equation 1
160/x+600/100 = 8
x = 80
Speed of Car = 100 km/hr
Speed of train = 80 km/hr
Answer:
10.4 minute by car and 12 hours by train
Step-by-step explanation: