Two arrows are shot at a gap of 10 seconds. The Speed of each arrow is 50 m/s. A bullet fired after 10 seconds from the opposite direction crosses both the arrows in 4 seconds. What is the Speed of the bullet?
Correct Answer : c ) 75 m/secExplanation :
According to question:
Speed of arrows = 50 m/s
Both the arrows were shot at an interval of 10 seconds
We know that,Speed=\(Distance \over Time\)
⇒ Distance between both the arrows after 10 sec = 50 × 10 = 500 m
As bullet crosses both the arrows in 4 seconds
⇒Relative Speed of bullet and arrow=\(500 \over 4\)=125 m/sec
⇒ Thus, Speed of bullet =125-50=75 m/sec
Hence, (c) is the correct answer.
Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS, UPSC NDA etc.