Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours
at 24 mph speed. What is the average s

Question

Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours
at 24 mph speed. What is the average speed of Jim’s travel in mph?
O 36 mph
O 37.5 mph
0 42 mph
O 42.5 mph
O O 48 mph

Gabriella · Answer

Given     :    Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed.     Need     To     Find     :    Average Speed of Jim's travel in mph .    ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀    ⠀⠀⠀⠀Finding  Distance    Travelled in both case of speed :     ⠀Finding Distance Travelled in first   3 hrs  at the speed of  60 mph  :       dag : : it{ As, :We :know :that ::}         qquad  dag : : bigg lgroup  sf{ Distance  :: Speed  times Time } bigg rgroup          ⠀⠀⠀⠀Here , Speed is  60     mph    &  Time    is  3     hrs    .    ⠀⠀⠀⠀⠀⠀  underline { boldsymbol{ star :Now  : By  : Substituting  : the  : Given  : Values  ::}}         qquad  longmapsto  sf{ Distance = 60  times 3 }         qquad  longmapsto  frak{ underline{ purple{ :Distance = 180km }} }       Therefore,     ⠀⠀⠀⠀⠀  therefore { underline{  mathrm { :Distance  :Travelled  :in :first :3 :hours  :is : bf{180 : km}}}}       ⠀Finding Distance Travelled in remaining   5  hrs at the speed of  24  mph :       dag : : it{ As, :We :know :that ::}         qquad  dag : : bigg lgroup  sf{ Distance  :: Speed  times Time } bigg rgroup          ⠀⠀⠀⠀Here , Speed is  24  mph & Time is  5  hrs .    ⠀⠀⠀⠀⠀⠀  underline { boldsymbol{ star :Now  : By  : Substituting  : the  : Given  : Values  ::}}         qquad  longmapsto  sf{ Distance = 24  times 5 }         qquad  longmapsto  frak{ underline{ purple{ :Distance = 120 km }} }       Therefore,     ⠀⠀⠀⠀⠀  therefore { underline{  mathrm { :Distance  :Travelled  :in :remaining  :8 :hours  :is : bf{120 : km}}}}       ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀    ⠀⠀⠀⠀Now , Finding  Average Speed  :         dag : : it{ As, :We :know :that ::}         qquad  dag : : bigg lgroup  sf{ Average  :Speed : ::  dfrac{Total ;Distance  :Travelled :}{Total :Time :Taken}} bigg rgroup          Here ,     ⠀⠀⠀⠀  Total     Distance     Travelled    = Distance Travelled in first 3 hrs + Distance Travelled ⠀⠀⠀⠀in remaining 5 hrs .   ⠀⠀⠀⠀  Total     Distance     Travelled     =     120 km + 180 km   ⠀⠀⠀⠀Total Distance Covered in journey =  300     km     .      ⠀⠀  &         ⠀⠀⠀⠀  Total     Time     Taken     =    3hrs + 5 hrs   ⠀⠀⠀⠀Total Time Taken =  8     hrs    .    ⠀⠀⠀⠀⠀⠀  underline { boldsymbol{ star :Now  : By  : Substituting  : the  : Given  : Values  ::}}         qquad  longmapsto  sf { Average  :Speed =  dfrac{300}{8}}         qquad  longmapsto  sf { Average  :Speed =  cancel { dfrac{300}{8}}}         qquad  longmapsto  frak{ underline{ purple{ :Average  :Spped :  = 37.5 mph }} }       Therefore,     ⠀⠀⠀⠀⠀  therefore { underline{  mathrm { :The :Average  :Speed :of :Jim's :travel  :is : bf{37.5 :mph}}}}       ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

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Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hoursat 24 mph speed. What is the average s