Question

A boy travels x hrs at 8km/hr and theb for y hrs at 7km/hr. if he goes 37km altogether in 5hrs, Find x and y​

Answer 1

We know that,

$\large \sf \red{Distance }{= Speed × Time}$

$\sf{Distance \: travelled \: by \: boy \: in \: x \: hours \: =8x }\\ \sf{Distance \: travelled \: by \: boy \: in \: y \: hours = 7y} \\ \\ \sf{He \: goes \: 37 \: km \: altogether} \\ \\ \sf{⇒8x + 7y = 37 = 1} \\ \\ \sf{also \: he takes \: 5 \: hours \: altogether} \\ \\ \sf{⇒ x + y = 5} \\ \\ \sf{⇒y = 5 – x = 2} \\ \\ \sf{Putting \: the \: value \: of \: y \: from \: (2) \: in \: (1)} \\ \\ \sf{8x + 7 (5 – x) = 37} \\ \\ \sf{⇒ 8x + 35 – 7x = 37} \\ \\ \sf{⇒ x = 37 – 35 = 2 \: hours} \\ \\ \sf{ putting \: the \: value \: of \: x \: in \: (2)} \\ \\ \sf{y = 5 – 2 = 3 \: hours }\\ \\ \sf{Hence \: x = 2 \: hours \: and \: y = 3 \: hours}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \sf{@WildCat7083 }$