6) Places A and B are 30 km apart andthey are on a straight road. Hamidtravels from A to B on bike. At thesame time Joseph starts from B on
bike, travels towards. A They meeteach other after 20 minutes. If Josephwould have started from B at the same
time but in the opposite directio(instead of towards A) Hamid wouldhave caught him after 3 hours. Findthe speed of Hamid and Joseph.tell me the the answer fast
Answers
Step-by-step explanation:
Answer Let the speeds of Hamid and Joseph be x km/hr andy km/hr respectively. Distance travelled by Hamid in 20 minutes i.e. (1/3)hrs = (1/3)x km Distance travelled by Joseph in (1/3)hrs = (1/3)y km According to the first condition, (1/3)x = (1/3)y = 30 x + y = 90 …(i) [Multiplying both sides by 3] Distance travelled by Hamid in 3 hrs = 3x km Distance travelled by Joseph in 3 hrs = 3y km According to the second condition, 3x – 3y = 30 x – y = 10 … (ii) [Dividing both sides by 3 ] Adding equations (i) and (ii), we get x + y = 90 + x - y = 10 / 2x = 100 ∴ x = 100/2 = 50 Substituting x = 50 in equation (i), we get 50 + y = 90 ∴ y= 90 - 50 = 40 ∴ The speeds of Hamid and Joseph 50 km/hr and 40 km/hr respectively.Read more on Sarthaks.com - https://www.sarthaks.com/842995/solve-the-following-word-problems-places-and-are-km-apart-and-they-are-straight-road-hamid