Affairscloud Math-Time & Distance, Part-21

Time and Distance Set 21

1. A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is the original speed of the Car?
   A. 20 km/hr
   B. 40 km/hr
   C. 60 km/hr
   D. 80 km/hr
   E. Cannot be determined
   
   Answer & Explanation

   Answer – B. 40 km/hr
   Explanation :
   (x+40/s) + 5/4 = 40/s + 5x/4s — — — 1
   (x+40/s) + 1 = 80/s + 5(x-40)/4s — — — 2
   s = 40
   
2. Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?
   A. 300 Km
   B. 400 Km
   C. 480 Km
   D. 600 Km
   E. Cannot be determined
   
   Answer & Explanation

   Answer – C. 480 Km
   40t 1 +60t 2 = d
   T 1 /t 2 = 3/2
   T 1 – t 2 = 2
   Solving d = 480 Km
   
3. Ramu started from A towards B at a speed of 20Km/hr and Raju started from B towards A. They crossed each other after one hour. Raju reached his destination 5/6 hour earlier than Ramu reached his destination.Then what is the distance between A and B?
   A. 40 Km
   B. 50 Km
   C. 60 Km
   D. 80 Km
   E. Cannot be determined
   
   Answer & Explanation

   Answer – B. 50 Km 
   Explanation :
   1 = x/20 = D-x/s 2
   5/6 = D(1/20 – 1/s 2 )
   D =50
   
4. Two Cars started at same time, same place and towards same direction. First Car goes at uniform speed of 12Km/hr. Second Car goes at speed of 4 Km/hr in first hour and increases it speed by 1 Km/hr for every hour. Then what is the distance traveled by car B when the both the Cars meet for the first time?
   A. 196 Km
   B. 198 Km
   C. 200 Km
   D. 204 Km
   E. None
   
   Answer & Explanation

   Answer – D. 204 Km
   Explanation :
   12*x = x/2(2*4+(x-1)*1)
   X= 17
   D = 17*12 =204
   
5. A man traveled 100 km by Bike in 2 hours. He then traveled in Bus for 8 hrs and then Train in 9 hrs. Ratio of Speeds of Bus to Train is 4:5. If speed of train is 4/5 of Bike speed then the entire journey covered by him in Km is?
   A. 516 Km
   B. 616 Km
   C. 716 Km
   D. 816 Km
   E. None
   
   Answer & Explanation

   Answer – C. 716 KmExplanation :
   Speed of train = 50
   Bus = 32
   Train = 40
   Distance = 100+32*8+40*9 = 716
   
6. Car A leaves Delhi at a certain time, after 5 hours Car B leaves Delhi in the same direction as of A. Speed of Car A is 20Km/hr and Speed of Car B is 40Km/hr. In how much time Car B will be 20Km ahead of Car A?
   A. 5 Hours
   B. 6 Hours
   C. 8 Hours
   D. 11 Hours
   E. None
   
   Answer & Explanation

   Answer – B. 6 Hours
   Explanation :
   20 =40*(t-5) – 20*t
   T = 11
   11-5 = 6
   
7. Two places A and B are at a distance of 480Km. Sita started from A towards B at the speed of 40Kmph. After 2 hours Gita started from B towards A at speed of 60 Kmph. They meet at a Place C then what is the difference between the time taken by them to reach their destinations from Place C?
   A. 1 hour
   B. 2 hours
   C. 3 hours
   D. 4 hours
   E. Cannot be determined
   
   Answer & Explanation

   Answer – B. 2 hours
   Explanation :
   t*40+ (t-2)*60 = 480
   t=6
   From Place C to A = C to B = 240
   Then time taken by Sita = 6hours and GIta = 4 hours
   Difference = 6-4 = 2 hours
   
8. Two Cars started at same time, same place and towards same direction. First Car goes at a speed of 5km/hr in first and 7 Km/hr in second hour and repeats the cycle over the entire journey. Similarly second Car goes at 4km/hr in first hour and 9km/hr in second hour and repeats the cycle over the entire journey.Then these two Cars for the first time for after how many hours of journey?
   A. 3 Hours
   B. 6 Hours
   C. 9 Hours
   D. 12 Hours
   E. None
   
   Answer & Explanation

   Answer – A. 20 kmph
   Explanation :
   First car : 5,12,17
   Second Car: 4,3,17
   
9. A police saw a Thief at a distance of 2km. When Police started chasing him Thief also started running. If the ratio of Speeds of Police to Thief is 5:4. Then thief was caught at a certain distance then how many Kms did police run to catch the Thief?
   A. 5 Km
   B. 6 Km
   C. 8 Km
   D. 10 Km
   E. Cannot be determined
   
   Answer & Explanation

   Answer – D. 10 Km
   Explanation :
   

   2+x/5 = x/4
   X = 8
   Police = 8+2 = 10
   
10. If a Car runs at 45Km/hr it reaches its destination by 10 min late. If it runs at 60Km/hr it is late by 4min. Then what is the correct time for the journey?
    A. 12 min
    B. 14 min
    C. 16 min
    D. 18 min
    E. Cannot be determined
    
    Answer & Explanation

    Answer – B. 14 min
    Explanation :
    

    45(t+10) = 60(t+4)
    T = 14